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Saturday, 31 October

JEE Main · Maths · Differential Equations

LDEs Disguised in Exact Differential Form

JEE Main asked LDEs Disguised in Exact Differential Form 2 times in 2 of the 108 shifts Lumi analysed, in 2023 and 2025. It belongs to Linear Differential Equations, in Differential Equations (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2023
last in 2025
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2023 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200’210’220.07’230’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 0 in 18 shifts · 2025: 1 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
  • 20251 of 8
  • 20240 of 18
  • 20231 of 12
  • 20220 of 24
  • 20210 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: multi-step.

  • Solve initial value differential equation

Difficulty

Easy 0Medium 0Hard 2

1 of the 2 questions had a numerical answer.

Every question

All 2 questions

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

  1. 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
  2. 6 Apr 2023, Shift 1 · Q29Let y=y(x)y=y(x) be a solution of the differential equation (xcos⁡x) dy+(xysin⁡x+ycos⁡x−1) dx=0, 0<x<π2(x\cos x)\,dy+(xy\sin x+y\cos x-1)\,dx=0,\ 0<x<\frac{\pi}{2}. If…HardNumerical value

Shifts: 6 Apr 2023, Shift 1, 7 Apr 2025, Shift 1.

Same topic

Other ideas in Linear Differential Equations

Linear Differential Equations has 18 ideas JEE Main has asked; 14 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas