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Friday, 9 October

JEE Main Maths · Differential Equations

Particular Solution Solving

Particular Solution Solving (Differential Equations) was asked 3 times in 3 JEE Main shifts, 2021–2026, out of the 42 shifts Lumi analysed. 1 of the 3 had a numerical answer.

Times asked
3
in 3 shifts
Years
2021–2026
Usual format
Single correct
Multi-step
Pattern
Occasional
repeats across shifts

How it is asked

  • Solve initial value differential equation

Difficulty

Easy 0Medium 2Hard 1

Where it sits

Chapter: Differential Equations. Topic: Linear Differential Equations, 29 questions over 14 ideas.

Other repeat ideas in this topic

Every time it came

All 3 questions

Newest first, each with its options and official answer.

  1. 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
  2. 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
  3. 16 Mar 2021, Shift 2 · Q68If y=y(x)y=y(x) is the solution of the differential equation dydx+(tan⁡x) y=sin⁡x\frac{dy}{dx}+(\tan x)\,y=\sin x, 0≤x≤π30\le x\le\frac{\pi}{3}, with y(0)=0y(0)=0, then…MediumSingle correct