JEE Main Maths · Differential Equations

Integrating Factor Calculation

Integrating Factor Calculation (Differential Equations) was asked 3 times in 3 JEE Main shifts, 2023–2026, out of the 42 shifts Lumi analysed. 1 of the 3 had a numerical answer.

Times asked: 3; in 3 shifts
Years: 2023–2026
Usual format: Single correct; Multi-step
Pattern: Frequent; repeats across shifts

How it is asked

Solve initial value differential equation

Difficulty

Easy 0Medium 0Hard 3

Where it sits

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

All 3 questions

Newest first, each with its options and official answer.

4 Apr 2026, Shift 2 · Q19Let $y=y(x)$ be the solution of the differential equation:…HardSingle correct
3 Apr 2025, Shift 1 · Q20Let $g$ be a differentiable function such that $\int_0^x g(t)\,dt = x - \int_0^x t\,g(t)\,dt$ , $x \ge 0$ and let $y = y(x)$ satisfy the…HardSingle correct
13 Apr 2023, Shift 2 · Q27If $y=y(x)$ is the solution of the differential equation $\frac{dy}{dx}+\frac{4x}{(x^2-1)}y=\frac{x+2}{(x^2-1)^{\frac{5}{2}}}$ , $x>1$ such…HardNumerical value