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Friday, 9 October

JEE Main Maths · Differential Equations

LDEs Disguised in Exact Differential Form

LDEs Disguised in Exact Differential Form (Differential Equations) was asked 2 times in 2 JEE Main shifts, 2023–2025, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2023–2025
Usual format
Numerical value
Multi-step
Pattern
Occasional
repeats across shifts

How it is asked

  • Solve initial value differential equation

Difficulty

Easy 0Medium 0Hard 2

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 2 questions

Newest first, each with its options and 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