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Saturday, 10 October

JEE Main Maths · Differential Equations

LDEs Formed via Leibniz Integral Rule

LDEs Formed via Leibniz Integral Rule (Differential Equations) was asked 2 times in 2 JEE Main shifts, 2022–2026, out of the 42 shifts Lumi analysed.

Times asked
2
in 2 shifts
Years
2022–2026
Usual format
Single correct
Multi-step
Pattern
Occasional
repeats across shifts

How it is asked

  • Solve integral equation after functional equation
  • Minimum of function defined by integral 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. 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
  2. 28 Jul 2022, Shift 1 · Q20The minimum value of the twice differentiable function f(x)=∫0xex−tf′(t) dt−(x2−x+1)ex, x∈Rf(x)=\int_0^x e^{x-t}f'(t)\,dt-(x^2-x+1)e^x,\ x\in\mathbf{R}, is :HardSingle correct