Learn

Saturday, 31 October

JEE Main · Maths · Differential Equations

Reducible to Separable

JEE Main asked Reducible to Separable 4 times in 4 of the 108 shifts Lumi analysed, in 2020, 2021 and 2024. It belongs to Variable Separable Form, in Differential Equations (Maths). The longest wait between two years asking it was 3 years. In 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
3 of 8
First asked
2020
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200.03’210’220’230.09’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 2 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20250 of 8
  • 20242 of 18
  • 20230 of 12
  • 20220 of 24
  • 20211 of 24
  • 20201 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • Solve initial value differential equation
  • Substitution then minimum of de solution

Difficulty

Easy 0Medium 1Hard 3

1 of the 4 questions had a numerical answer.

Every question

All 4 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 1 Feb 2024, Shift 1 · Q11Let y=y(x)y=y(x) be the solution of the differential equation dydx=2x(x+y)3−x(x+y)−1\frac{dy}{dx}=2x(x+y)^3-x(x+y)-1, y(0)=1y(0)=1. Then,…HardSingle correct
  2. 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
  3. 25 Jul 2021, Shift 1 · Q62Let y=y(x)y=y(x) be the solution of the differential equation dydx=1+xey−x\frac{dy}{dx}=1+xe^{y-x}, −2<x<2-\sqrt2<x<\sqrt2, y(0)=0y(0)=0 then, the minimum value…HardSingle correct
  4. 4 Sep 2020, Shift 2 · Q63The solution of the differential equation dydx−y+3xlog⁡e(y+3x)+3=0\frac{dy}{dx} - \frac{y+3x}{\log_e (y+3x)} + 3 = 0 is : (where C is a constant of integration.)MediumSingle correct

Shifts: 4 Sep 2020, Shift 2, 25 Jul 2021, Shift 1, 1 Feb 2024, Shift 1, 4 Apr 2024, Shift 2.

Same topic

Other ideas in Variable Separable Form

Variable Separable Form has 17 ideas JEE Main has asked; 8 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas