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Sunday, 25 October

JEE Main · Maths · Class 12

Differential Equations: JEE Main previous year questions

161 questions in 107 of the 108 JEE Main shifts Lumi analysed, asked in 8 of 8 years. Here is what this chapter tests and how.

Study this chapter
Questions
161
in 107 of 108 shifts · 8 of 8 years
Average a shift
1.2
of 25 Maths · 1.3 since 2024 0.2
Typical range
1.0–1.5
questions a shift; fewest 0.9, most 1.6
Weighted estimate
1.3
model, recent years count more · about 5 marks
  • Typical range (fact)
  • Average a shift (fact)
  • Weighted estimate (model)

Questions are counted per shift, out of the 25 each subject has, in the shifts Lumi analysed; papers that offered 30 a subject (2017, 2021–2024) are scaled to 25. Typical range: the middle six of the eight years (2017, 2020–2026), leaving out the single highest and lowest year. The average and the range are historical fact. The weighted estimate is a model: each year's share, with recent years counting more (half-life three years), and chapters NTA dropped from the syllabus set near zero. It is a guide to effort, not a forecast of the paper.

What to do

How to spend time on Differential Equations

Priority

Should do

One of the 6 Maths chapters that took Maths from half to 80% of its questions in the 108 shifts analysed. How bands are set

Past questions
161in 107 of 108 shifts
Study plan gives it
23 hover 12 months; 17 h over 6
Study this chapter →

Ideas asked most often

  1. Integrating Factor Calculation22×
  2. Initial Value Problem15×
  3. Particular Solution Solving11×
  4. Solving Integral Equations11×
  5. Substitution y = vx10×

125 of the 184 ideas in Lumi’s map of this chapter have not been asked or touched in the shifts analysed. Of its idea-tagged questions from 2024 on, 8% tested an idea not asked in an earlier year, so learn the whole chapter, not just the list above.

Within each subject, chapters in NTA's 2026 syllabus are ranked by their average questions a shift over all 8 years analysed (history, not the model). Going down that list, the chapters that together held the first half of the subject's questions are Must do; the next ones, up to 80%, are Should do; the rest are Lower priority.

Key findings

Differential Equations at a glance

  1. 01

    92%

    of its 52 questions from 2024 on that Lumi matched to an idea tested one JEE Main had asked in an earlier year; 100% came from a topic asked in an earlier year.

  2. 02

    68%

    of the 184 ideas in Lumi's map of the chapter have not been asked or touched on in the shifts analysed.

  3. 03

    29%

    of its questions asked for a numerical answer, 1.0 times the Maths average.

  4. 04

    47%

    of its questions were rated hard, against 26% across all Maths questions in the same shifts.

Questions a shift, year by year

Out of the 25 Maths questions in a shift. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift.

0240.9’171’201.3’211.5’221’231.6’241’251.3’26

Raw count: 2017: 1 in 1 shift · 2020: 12 in 12 shifts · 2021: 36 in 24 shifts · 2022: 44 in 24 shifts · 2023: 14 in 12 shifts · 2024: 34 in 18 shifts · 2025: 8 in 8 shifts · 2026: 12 in 9 shifts.

Kind of question

SHARE OF QUESTIONS
  • Multi-step59%
  • Numerical answer29%
  • Calculation9%
  • Conceptual1%
  • Application1%
  • Diagram based1%

Most common asks: solve initial value differential equation (104); differential equation of a family of curves (4); solve integral equation for function value (2).

Profile

This chapter in numbers

Where it ranks, how steady it is, and what it costs to study.

Rank, all JEE chapters
#21
of 70 by weighted estimate
Rank in Maths
#8
of 21 chapters
Share of Maths
4.8%
of its questions, all shifts analysed
Busiest year
2024
1.6 questions a shift
Year to year
Steady
varies by about 0.3 questions a shift
Long-run direction
+0.04
questions a shift, per year
Easy questions
3%
47% rated hard
Numerical answer
29%
1.0× the Maths rate
With a figure
1%
graph, diagram or structure
Study time
23 h
17 h on a 6-month plan
Marks per study hour
0.22
#58 of 70 chapters
Foundation for others
61%
of its ideas are used in other chapters

Difficulty, year by year

Each question rated easy, medium or hard. Each bar is that year’s split, so years compare directly; the number is the questions in that year’s analysed shifts (1 to 24 shifts a year).

  • 20171
  • 202012
  • 202136
  • 202244
  • 202314
  • 202434
  • 20258
  • 202612
  • Easy
  • Medium
  • Hard

What it asks you to do

SHARE OF QUESTIONS
  • Multi-step85%
  • Calculation12%
  • Application1%
  • Conceptual1%

Coverage

How much of the chapter JEE Main has used

We split the chapter into 184 ideas. In the 108 shifts analysed, JEE Main built a question around 44 of them. Most of the chapter has never been the main idea of a question, so past questions alone leave most of it out.

Asked as the main idea
44
Touched on in a question
15
Never asked
125

Topics

What repeats, topic by topic

This chapter's questions per topic in each year's analysed shifts. The number is the count; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. 7 questions had no close topic in Lumi's map and count for the chapter only.

’17’20’21’22’23’24’25’26
020+questions in that year’s analysed shifts, shaded per shift
  • Linear Differential Equations

    As a topic: 82 questions in 7 of 8 years, most often single correct, 34% numerical answer. Recent asks: solve initial value differential equation; numerical: solve linear differential equation; solve integral equation after functional equation.

  • Variable Separable Form

    As a topic: 42 questions in 7 of 8 years, most often single correct, 19% numerical answer.

  • Homogeneous Equations

    As a topic: 22 questions in 6 of 8 years, most often single correct, 23% numerical answer.

  • Leibniz Rule

    As a topic: 18 questions in 6 of 8 years, most often single correct, 33% numerical answer.

Drill down

Topic, idea, question

Open a topic to see every idea JEE Main tested inside it, then open an idea to read the questions. Each row shows its 8 years.

  • Open81 · 50%3192091776

    18 ideas inside

    • OpenRepeated22 · 27%23456
    • OpenRepeated11 · 14%352
    • OpenRepeated7 · 9%222
    • OpenRepeated6 · 7%3
    • OpenRepeated6 · 7%22
    • OpenRepeated4 · 5%3
    • OpenRepeated4 · 5%2
    • OpenRepeated3 · 4%
    • OpenRepeated3 · 4%
    • OpenRepeated3 · 4%
    • OpenRepeated2 · 2%
    • OpenRepeated2 · 2%
    • OpenRepeated2 · 2%
    • OpenRepeated2 · 2%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
  • Open40 · 25%6993102
  • Open22 · 14%231042
  • Open6 · 4%2
  • Open3 · 2%2
  • Open1 · 1%
  • Open1 · 1%

Squares are the 8 years with analysed shifts, 2017 to 2026. A number is the questions that year when there is more than one; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. Share is of the level above.

Ideas

The exact ideas JEE Main has asked

Inside the topics, 45 different ideas were tested; 29 came more than once. These are the repeats, then the ideas new since 2024.

Dots are the 8 years with analysed shifts, 2017 to 2026.

Every question

All 161 Differential Equations questions

Newest first, shift by shift. The newest 40 show their opening words; older ones name the idea they tested. Each opens with its options and the official answer.

JEE Main 202612 questions

  1. 2 Apr 2026, Shift 1 · Q17If the curve y=f(x)y=f(x) passes through the point (1,e)(1, e) and satisfies the differential equation dy=y(2+log⁡ex) dxdy=y(2+\log_e x)\,dx, x>0x>0, then f(e)f(e)…EasySingle correct
  2. 2 Apr 2026, Shift 1 · Q20Let y=y(x)y=y(x) be the solution curve of the differential equation (1+sin⁡x)dydx+(y+1)cos⁡x=0(1+\sin x)\frac{dy}{dx}+(y+1)\cos x=0, y(0)=0y(0)=0. If the curve y=y(x)y=y(x)…MediumSingle correct
  3. 2 Apr 2026, Shift 2 · Q20Let x=x(y)x = x(y) be the solution of the differential equation 2y2dxdy−2xy+x2=0,y>1,x(e)=e2y^2\frac{dx}{dy} - 2xy + x^2 = 0, y > 1, x(e) = e. Then x(e2)x(e^2) is equal to:MediumSingle correct
  4. 4 Apr 2026, Shift 1 · Q20Let y=y(x)y=y(x) be the solution of the differential equation dydx=(1+x+x2)(1−y+y2)\frac{dy}{dx}=(1+x+x^2)(1-y+y^2), y(0)=12y(0)=\frac12. Then (2y(1)−1)(2y(1)-1) is equal toMediumSingle correct
  5. 4 Apr 2026, Shift 2 · Q19Let y=y(x)y=y(x) be the solution of the differential equation:…HardSingle correct
  6. 4 Apr 2026, Shift 2 · Q25Let ff be a twice differentiable function such that f(x)=∫0xtan⁡(t−x) dt−∫0xf(t)tan⁡t dtf(x)=\int_0^x\tan(t-x)\,dt-\int_0^x f(t)\tan t\,dt,…HardNumerical value
  7. 5 Apr 2026, Shift 1 · Q25Let y=y(x)y = y(x) be the solution of the differential equation…HardNumerical value
  8. 5 Apr 2026, Shift 2 · Q19Let f:[1,∞)→Rf:[1,\infty)\to\mathbf{R} be a differentiable function defined as f(x)=∫1xf(t) dt+(1−x)(log⁡ex−1)+ef(x)=\int_1^x f(t)\,dt+(1-x)(\log_e x-1)+e. Then the value of…HardSingle correct
  9. 5 Apr 2026, Shift 2 · Q25Let y=y(x)y=y(x) be the solution of the differential equation (tan⁡x)1/2 dy=(sec⁡3x−(tan⁡x)3/2 y)dx(\tan x)^{1/2}\,dy=\left(\sec^3 x-(\tan x)^{3/2}\,y\right)dx,…HardNumerical value
  10. 6 Apr 2026, Shift 1 · Q25Let y=y(x)y=y(x) be the solution of the differential equation…HardNumerical value
  11. 6 Apr 2026, Shift 2 · Q18Let f:R→Rf:\mathbf{R}\to\mathbf{R} be such that f(xy)=f(x)f(y)f(xy)=f(x)f(y), for all x,y∈Rx,y\in\mathbf{R} and f(0)≠0f(0)\neq0. Let g:[1,∞)→Rg:[1,\infty)\to\mathbf{R}…HardSingle correct
  12. 8 Apr 2026, Shift 2 · Q17Let y=y(x)y = y(x) be the solution of the differential equation x1−x2 dy+(y1−x2−xcos⁡−1x)dx=0x\sqrt{1-x^2}\,dy + \left(y\sqrt{1-x^2} - x\cos^{-1}x\right)dx = 0,…MediumSingle correct

JEE Main 20258 questions

  1. 2 Apr 2025, Shift 1 · Q24Let f:R→Rf:\mathbf{R}\to\mathbf{R} be a thrice differentiable odd function satisfying f′(x)≥0f'(x)\ge0, f′′(x)=f(x)f''(x)=f(x), f(0)=0f(0)=0, f′(0)=3f'(0)=3. Then…MediumNumerical value
  2. 2 Apr 2025, Shift 2 · Q25Let y=y(x)y = y(x) be the solution of the differential equation…MediumNumerical value
  3. 3 Apr 2025, Shift 1 · Q20Let gg be a differentiable function such that ∫0xg(t) dt=x−∫0xt g(t) dt\int_0^x g(t)\,dt = x - \int_0^x t\,g(t)\,dt, x≥0x \ge 0 and let y=y(x)y = y(x) satisfy the…HardSingle correct
  4. 3 Apr 2025, Shift 2 · Q20Let y=y(x)y = y(x) be the solution of the differential equation…MediumSingle correct
  5. 4 Apr 2025, Shift 2 · Q20If a curve y=y(x)y=y(x) passes through the point (1,π2)\left(1,\frac{\pi}{2}\right) and satisfies the differential equation…HardSingle correct
  6. 7 Apr 2025, Shift 1 · Q20Let y=y(x)y = y(x) be the solution curve of the differential equation x(x2+ex) dy+(ex(x−2)y−x3) dx=0x(x^2 + e^x)\,dy + (e^x(x-2)y - x^3)\,dx = 0, x>0x > 0, passing through…HardSingle correct
  7. 7 Apr 2025, Shift 2 · Q19Let y=y(x)y=y(x) be the solution of the differential equation (x2+1)y′−2xy=(x4+2x2+1)cos⁡x(x^2+1)y'-2xy=(x^4+2x^2+1)\cos x, y(0)=1y(0)=1. Then ∫−33y(x) dx\int_{-3}^{3}y(x)\,dx is :MediumSingle correct
  8. 8 Apr 2025, Shift 2 · Q20Let f(x)=x−1f(x) = x - 1 and g(x)=exg(x) = e^x for x∈Rx \in \mathbb{R}. If…HardSingle correct

JEE Main 202434 questions

  1. 4 Apr 2024, Shift 1 · Q14If the solution y=y(x)y=y(x) of the differential equation (x4+2x3+3x2+2x+2)dy−(2x2+2x+3)dx=0(x^4+2x^3+3x^2+2x+2)dy-(2x^2+2x+3)dx=0 satisfies y(−1)=−π4y(-1)=-\frac{\pi}{4}, then…HardSingle correct
  2. 4 Apr 2024, Shift 1 · Q26Let the solution y=y(x)y=y(x) of the differential equation dydx−y=1+4sin⁡x\frac{dy}{dx}-y=1+4\sin x satisfy y(π)=1y(\pi)=1. Then…MediumNumerical value
  3. 4 Apr 2024, Shift 2 · Q12Let y=y(x)y=y(x) be the solution of the differential equation (x2+4)2dy+(2x3y+8xy−2)dx=0(x^2+4)^2dy+(2x^3y+8xy-2)dx=0. If y(0)=0y(0)=0, then y(2)y(2) is equal toHardSingle correct
  4. 4 Apr 2024, Shift 2 · Q27Let y=y(x)y=y(x) be the solution of the differential equation (x+y+2)2dx=dy(x+y+2)^2dx=dy, y(0)=−2y(0)=-2. Let the maximum and minimum values of the function…HardNumerical value
  5. 5 Apr 2024, Shift 1 · Q12If y=y(x)y=y(x) is the solution of the differential equation dydx+2y=sin⁡(2x)\frac{dy}{dx}+2y=\sin(2x), y(0)=34y(0)=\frac34, then y(π8)y\left(\frac{\pi}{8}\right)…MediumSingle correct
  6. 5 Apr 2024, Shift 1 · Q26Let ff be a differentiable function in the interval (0,∞)(0,\infty) such that f(1)=1f(1)=1 and lim⁡t→xt2f(x)−x2f(t)t−x=1\lim_{t\to x}\frac{t^2f(x)-x^2f(t)}{t-x}=1 for…HardNumerical value
  7. 5 Apr 2024, Shift 2 · Q13The differential equation of the family of circles passing through the origin and having centre at the line y=xy=x is :MediumSingle correct
  8. 5 Apr 2024, Shift 2 · Q26Let y=y(x)y = y(x) be the solution of the differential equation dydx+2x(1+x2)2 y=xe1(1+x2)\frac{dy}{dx} + \frac{2x}{(1+x^2)^2}\,y = x e^{\frac{1}{(1+x^2)}};…MediumNumerical value
  9. 6 Apr 2024, Shift 1 · Q13Let y=y(x)y=y(x) be the solution of the differential equation (1+x2)dydx+y=etan⁡−1x(1+x^2)\frac{dy}{dx}+y=e^{\tan^{-1}x}, y(1)=0y(1)=0. Then y(0)y(0) isMediumSingle correct
  10. 6 Apr 2024, Shift 1 · Q14Let y=y(x)y=y(x) be the solution of the differential equation (2xlog⁡ex)dydx+2y=3xlog⁡ex(2x\log_e x)\frac{dy}{dx}+2y=\frac{3}{x}\log_e x, x>0x>0 and y(e−1)=0y(e^{-1})=0.…MediumSingle correct
  11. 6 Apr 2024, Shift 2 · Q13Suppose the solution of the differential equation dydx=(2+α)x−βy+2βx−2αy−(βγ−4α)\frac{dy}{dx}=\frac{(2+\alpha)x-\beta y+2}{\beta x-2\alpha y-(\beta\gamma-4\alpha)}…HardSingle correct
  12. 6 Apr 2024, Shift 2 · Q26If the solution y(x)y(x) of the given differential equation (ey+1)cos⁡x dx+eysin⁡x dy=0(e^y+1)\cos x\,dx+e^y\sin x\,dy=0 passes through the point…EasyNumerical value
  13. 8 Apr 2024, Shift 1 · Q12Let f(x)f(x) be a positive function such that the area bounded by y=f(x)y=f(x), y=0y=0 from x=0x=0 to x=a>0x=a>0 is e−a+4a2+a−1e^{-a}+4a^2+a-1. Then the…HardSingle correct
  14. 8 Apr 2024, Shift 1 · Q13Let y=y(x)y=y(x) be the solution of the differential equation (1+y2)etan⁡xdx+cos⁡2x (1+e2tan⁡x)dy=0(1+y^2)e^{\tan x}dx+\cos^2x\,(1+e^{2\tan x})dy=0, y(0)=1y(0)=1. Then…MediumSingle correct
  15. 8 Apr 2024, Shift 2 · Q13Let y=y(x)y = y(x) be the solution curve of the differential equation sec⁡ydydx+2xsin⁡y=x3cos⁡y\sec y \frac{dy}{dx} + 2x\sin y = x^3\cos y, y(1)=0y(1) = 0. Then…MediumSingle correct
  16. 8 Apr 2024, Shift 2 · Q27Let α∣x∣=∣y∣exy−β\alpha|x| = |y|e^{xy-\beta}, α,β∈N\alpha, \beta \in \mathbb{N} be the solution of the differential equation…HardNumerical value
  17. 9 Apr 2024, Shift 1 · Q10The solution of the differential equation (x2+y2)dx−5xy dy=0(x^2+y^2)dx-5xy\,dy=0, y(1)=0y(1)=0, is :MediumSingle correct
  18. 9 Apr 2024, Shift 1 · Q11The solution curve, of the differential equation 2ydydx+3=5dydx2y\frac{dy}{dx}+3=5\frac{dy}{dx}, passing through the point (0,1)(0,1) is a conic, whose…MediumSingle correct
  19. 9 Apr 2024, Shift 2 · Q13Let ∫0x1−(y′(t))2 dt=∫0xy(t) dt, 0≤x≤3, y≥0, y(0)=0\int_0^x\sqrt{1-(y'(t))^2}\,dt=\int_0^x y(t)\,dt,\ 0\le x\le 3,\ y\ge0,\ y(0)=0. Then at x=2x=2, y′′+y+1y''+y+1 is equal toHardSingle correct
  20. 9 Apr 2024, Shift 2 · Q26For a differentiable function f:R→Rf:\mathbb{R}\to\mathbb{R}, suppose f′(x)=3f(x)+αf'(x)=3f(x)+\alpha, where α∈R\alpha\in\mathbb{R}, f(0)=1f(0)=1 and…MediumNumerical value
  21. 1 Feb 2024, Shift 1 · Q11Reducible to Separable · Hard · Single correct
  22. 1 Feb 2024, Shift 1 · Q28Integrating Factor Calculation · Medium · Numerical value
  23. 1 Feb 2024, Shift 2 · Q27Linear in x Form · Medium · Numerical value
  24. 27 Jan 2024, Shift 1 · Q13Initial Value Problem · Medium · Single correct
  25. 27 Jan 2024, Shift 1 · Q27Reducible to Separable (Parallel Lines Case) · Hard · Numerical value
  26. 29 Jan 2024, Shift 1 · Q13Integrating Factors with Trigonometric Functions · Medium · Single correct
  27. 29 Jan 2024, Shift 1 · Q26Initial Value Problem · Medium · Numerical value
  28. 30 Jan 2024, Shift 1 · Q12Exact Differential Recognition in LDEs · Medium · Single correct
  29. 30 Jan 2024, Shift 1 · Q26Integrating Factor Calculation · Medium · Numerical value
  30. 30 Jan 2024, Shift 2 · Q27Forming LDEs from Geometric Conditions · Hard · Numerical value
  31. 31 Jan 2024, Shift 1 · Q11Integrating Factors with Trigonometric Functions · Hard · Single correct
  32. 31 Jan 2024, Shift 1 · Q12Alternative Substitution x = vy · Medium · Single correct
  33. 31 Jan 2024, Shift 2 · Q13Physical Modeling Applications · Easy · Single correct
  34. 31 Jan 2024, Shift 2 · Q27Bernoulli Equation Reduction · Hard · Numerical value

JEE Main 202314 questions

  1. 6 Apr 2023, Shift 1 · Q29LDEs Disguised in Exact Differential Form · Hard · Numerical value
  2. 6 Apr 2023, Shift 2 · Q12Generalized Substitution for LDEs · Hard · Single correct
  3. 6 Apr 2023, Shift 2 · Q25Integrating Factor Calculation · Hard · Numerical value
  4. 8 Apr 2023, Shift 1 · Q25Integrating Factor Calculation · Medium · Numerical value
  5. 8 Apr 2023, Shift 2 · Q28Linear in x Form · Hard · Numerical value
  6. 10 Apr 2023, Shift 1 · Q9Solving Integral Equations · Medium · Single correct
  7. 10 Apr 2023, Shift 1 · Q10Substitution y = vx · Medium · Single correct
  8. 10 Apr 2023, Shift 2 · Q27Substitution of Ratio (u = y/x) · Hard · Numerical value
  9. 11 Apr 2023, Shift 1 · Q20Substitution of Product (u = xy) · Medium · Single correct
  10. 11 Apr 2023, Shift 2 · Q13Integrating Factor Calculation · Hard · Single correct
  11. 12 Apr 2023, Shift 1 · Q11Integrating Factor Calculation · Hard · Single correct
  12. 13 Apr 2023, Shift 1 · Q14Initial Value Problem · Easy · Single correct
  13. 13 Apr 2023, Shift 2 · Q27Integrating Factor Calculation · Hard · Numerical value
  14. 15 Apr 2023, Shift 1 · Q11Linear in x Form · Hard · Single correct

JEE Main 202244 questions

  1. 25 Jul 2022, Shift 1 · Q10Exponential Factor Manipulation · Hard · Single correct
  2. 25 Jul 2022, Shift 1 · Q11Identifying Equations Reducible to Homogeneous Form · Hard · Single correct
  3. 25 Jul 2022, Shift 2 · Q11Geometric Applications · Medium · Single correct
  4. 25 Jul 2022, Shift 2 · Q25Substitution y = vx · Medium · Numerical value
  5. 26 Jul 2022, Shift 1 · Q11Particular Solution Solving · Medium · Single correct
  6. 26 Jul 2022, Shift 1 · Q27Curves from Area Properties · Hard · Numerical value
  7. 26 Jul 2022, Shift 2 · Q10Particular Solution Solving · Hard · Single correct
  8. 26 Jul 2022, Shift 2 · Q28Asymptotic Behavior of LDE Solutions · Hard · Numerical value
  9. 27 Jul 2022, Shift 1 · Q10Analyzing Roots of LDE Solutions · Hard · Single correct
  10. 27 Jul 2022, Shift 1 · Q25Particular Solution Solving · Hard · Numerical value
  11. 27 Jul 2022, Shift 2 · Q10Curves from Area Properties · Hard · Diagram based · has a figure
  12. 27 Jul 2022, Shift 2 · Q28Solving Integral Equations · Hard · Numerical value
  13. 28 Jul 2022, Shift 1 · Q1Substitution y = vx · Medium · Single correct
  14. 28 Jul 2022, Shift 1 · Q10Integrating Factors with Trigonometric Functions · Hard · Single correct
  15. 28 Jul 2022, Shift 2 · Q71Integrating Factor Calculation · Hard · Single correct
  16. 28 Jul 2022, Shift 2 · Q72Open the question · Medium · Single correct
  17. 29 Jul 2022, Shift 1 · Q7Integrating Factor Calculation · Hard · Single correct
  18. 29 Jul 2022, Shift 2 · Q9Identifying Equations Reducible to Homogeneous Form · Hard · Single correct
  19. 29 Jul 2022, Shift 2 · Q10Particular Solution Solving · Hard · Single correct
  20. 30 Jul 2022, Shift 2 · Q73Homogeneous Equations with Transcendental Functions · Medium · Single correct
  21. 24 Jun 2022, Shift 1 · Q14Linear in x Form · Medium · Single correct
  22. 24 Jun 2022, Shift 2 · Q8Geometric Applications · Medium · Single correct
  23. 24 Jun 2022, Shift 2 · Q19Geometric Applications · Hard · Single correct
  24. 25 Jun 2022, Shift 1 · Q15Finding Extrema directly from LDE · Medium · Single correct
  25. 25 Jun 2022, Shift 1 · Q18Alternative Substitution x = vy · Hard · Single correct
  26. 25 Jun 2022, Shift 2 · Q13Finding Particular Solutions · Medium · Single correct
  27. 26 Jun 2022, Shift 1 · Q25Particular Solution Solving · Medium · Numerical value
  28. 26 Jun 2022, Shift 1 · Q30Initial Value Problem · Hard · Numerical value
  29. 26 Jun 2022, Shift 2 · Q9Exact Differential Recognition in LDEs · Hard · Single correct
  30. 26 Jun 2022, Shift 2 · Q10Integrating Factor Calculation · Hard · Single correct
  31. 27 Jun 2022, Shift 1 · Q4Recognizing Exact Differentials in Homogeneous Forms · Hard · Single correct
  32. 27 Jun 2022, Shift 1 · Q11Exponential Sum/Difference Separation · Medium · Single correct
  33. 27 Jun 2022, Shift 2 · Q10Change of Independent Variable to form LDE · Medium · Single correct
  34. 27 Jun 2022, Shift 2 · Q28Integrating Factors with Trigonometric Functions · Hard · Numerical value
  35. 28 Jun 2022, Shift 1 · Q10Substitution y = vx · Hard · Single correct
  36. 28 Jun 2022, Shift 1 · Q11Coefficient Normalization for Standard Form · Hard · Single correct
  37. 28 Jun 2022, Shift 2 · Q10Exponential and Logarithmic Substitutions · Hard · Single correct
  38. 28 Jun 2022, Shift 2 · Q11Forming LDEs from Geometric Conditions · Hard · Single correct
  39. 29 Jun 2022, Shift 1 · Q2Substitution y = vx · Medium · Single correct
  40. 29 Jun 2022, Shift 1 · Q22Inverse Trigonometric Integrating Factors · Hard · Numerical value
  41. 29 Jun 2022, Shift 2 · Q9Initial Value Problem · Medium · Single correct
  42. 29 Jun 2022, Shift 2 · Q22Integrating Factor Calculation · Hard · Numerical value
  43. 30 Jun 2022, Shift 1 · Q12Direct Integration · Hard · Single correct
  44. 30 Jun 2022, Shift 1 · Q26Proportional Rate Problems · Medium · Numerical value

JEE Main 202136 questions

  1. 3 Aug 2021, Shift 1 · Q71Exact Differential Grouping · Hard · Single correct
  2. 3 Aug 2021, Shift 2 · Q73Finding Curve from Tangent/Normal Properties · Medium · Single correct
  3. 3 Aug 2021, Shift 2 · Q87Linear in x Form · Medium · Numerical value
  4. 4 Aug 2021, Shift 1 · Q71Inverse Trigonometric Form Simplification · Medium · Single correct
  5. 26 Aug 2021, Shift 1 · Q76Integrating Factor Calculation · Hard · Single correct
  6. 26 Aug 2021, Shift 2 · Q68Generalized Substitution for LDEs · Hard · Single correct
  7. 27 Aug 2021, Shift 1 · Q69Integrating Factor Calculation · Medium · Single correct
  8. 27 Aug 2021, Shift 1 · Q71Exact Differential Recognition in LDEs · Medium · Single correct
  9. 27 Aug 2021, Shift 2 · Q72Open the question · Medium · Single correct
  10. 27 Aug 2021, Shift 2 · Q73Linear in x Form · Medium · Single correct
  11. 31 Aug 2021, Shift 1 · Q71Exponential Sum/Difference Separation · Medium · Single correct
  12. 31 Aug 2021, Shift 1 · Q85Solving Integral Equations · Medium · Numerical value
  13. 31 Aug 2021, Shift 2 · Q70Direct Integration · Hard · Single correct
  14. 31 Aug 2021, Shift 2 · Q71Homogeneous Equations with Transcendental Functions · Hard · Single correct
  15. 24 Feb 2021, Shift 1 · Q72Physical Modeling Applications · Medium · Single correct
  16. 24 Feb 2021, Shift 2 · Q78Standard Linear Form Identification · Medium · Single correct
  17. 25 Feb 2021, Shift 1 · Q69General Solution Formula · Hard · Single correct
  18. 25 Feb 2021, Shift 2 · Q82Bernoulli Equation Reduction · Hard · Numerical value
  19. 26 Feb 2021, Shift 1 · Q65Proportional Rate Problems · Medium · Single correct
  20. 26 Feb 2021, Shift 1 · Q81Open the question · Medium · Numerical value
  21. 26 Feb 2021, Shift 1 · Q84Generalized Substitution for LDEs · Medium · Numerical value
  22. 26 Feb 2021, Shift 2 · Q65Bernoulli Equation Reduction · Medium · Single correct
  23. 26 Feb 2021, Shift 2 · Q67LDEs Formed via Leibniz Integral Rule · Medium · Single correct
  24. 22 Jul 2021, Shift 2 · Q70Particular Solution Solving · Medium · Single correct
  25. 22 Jul 2021, Shift 2 · Q90Domain Restrictions from Initial Value Problems · Hard · Numerical value
  26. 25 Jul 2021, Shift 1 · Q62Reducible to Separable · Hard · Single correct
  27. 25 Jul 2021, Shift 1 · Q85Generalized Substitution for LDEs · Medium · Numerical value
  28. 25 Jul 2021, Shift 2 · Q67Particular Solution Solving · Medium · Single correct
  29. 25 Jul 2021, Shift 2 · Q86Initial Value Problem · Medium · Numerical value
  30. 16 Mar 2021, Shift 2 · Q68Particular Solution Solving · Medium · Single correct
  31. 17 Mar 2021, Shift 1 · Q72Initial Value Problem · Medium · Single correct
  32. 17 Mar 2021, Shift 2 · Q67Standard Linear Form Identification · Hard · Single correct
  33. 17 Mar 2021, Shift 2 · Q68Integrating Factor Calculation · Hard · Single correct
  34. 18 Mar 2021, Shift 1 · Q74Open the question · Medium · Single correct
  35. 18 Mar 2021, Shift 2 · Q69Bernoulli Equation Reduction · Hard · Single correct
  36. 18 Mar 2021, Shift 2 · Q86Substitution y = vx · Hard · Numerical value

JEE Main 202012 questions

  1. 8 Jan 2020, Shift 1 · Q62Initial Value Problem · Medium · Single correct
  2. 8 Jan 2020, Shift 2 · Q63Open the question · Medium · Single correct
  3. 9 Jan 2020, Shift 1 · Q74Integrating Factor Calculation · Medium · Numerical value
  4. 9 Jan 2020, Shift 2 · Q64Substitution y = vx · Medium · Single correct
  5. 2 Sep 2020, Shift 1 · Q63Initial Value Problem · Medium · Single correct
  6. 2 Sep 2020, Shift 2 · Q63Substitution y = vx · Medium · Single correct
  7. 3 Sep 2020, Shift 1 · Q62Initial Value Problem · Medium · Single correct
  8. 3 Sep 2020, Shift 2 · Q62Separability Check · Medium · Single correct
  9. 4 Sep 2020, Shift 1 · Q63Integrating Factor Calculation · Hard · Single correct
  10. 4 Sep 2020, Shift 2 · Q63Reducible to Separable · Medium · Single correct
  11. 5 Sep 2020, Shift 1 · Q63Initial Value Problem · Easy · Single correct
  12. 6 Sep 2020, Shift 2 · Q63Standard Linear Form Identification · Medium · Single correct

JEE Main 20171 question

  1. 2 Apr 2017 (offline) · Q77Initial Value Problem · Medium · Single correct

Questions from the official JEE Main papers published by NTA. Chapter, topic and idea tags, counts and notes are Lumi’s. Pattern: Asked most years.

More Maths, Class 12

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