JEE Main Maths · Differential Equations

Integrating Factors with Trigonometric Functions

Integrating Factors with Trigonometric Functions (Differential Equations) was asked 6 times in 6 JEE Main shifts, 2022–2026, out of the 42 shifts Lumi analysed. 1 of the 6 had a numerical answer.

Times asked: 6; in 6 shifts
Years: 2022–2026
Usual format: Single correct; Multi-step
Pattern: Frequent; repeats across shifts

How it is asked

Solve initial value differential equation

Difficulty

Easy 0Medium 4Hard 2

Where it sits

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

All 6 questions

Newest first, each with its options and official answer.

2 Apr 2026, Shift 1 · Q20Let $y=y(x)$ be the solution curve of the differential equation $(1+\sin x)\frac{dy}{dx}+(y+1)\cos x=0$ , $y(0)=0$ . If the curve $y=y(x)$ …MediumSingle correct
2 Apr 2025, Shift 2 · Q25Let $y = y(x)$ be the solution of the differential equation…MediumNumerical value
3 Apr 2025, Shift 2 · Q20Let $y = y(x)$ be the solution of the differential equation…MediumSingle correct
29 Jan 2024, Shift 1 · Q13A function $y=f(x)$ satisfies $f(x)\sin 2x+\sin x-(1+\cos^2x)f'(x)=0$ with condition $f(0)=0$ . Then, $f\left(\frac{\pi}{2}\right)$ is…MediumSingle correct
31 Jan 2024, Shift 1 · Q11Let $y=y(x)$ be the solution of the differential equation…HardSingle correct
28 Jul 2022, Shift 1 · Q10If $y=y(x),\ x\in(0,\pi/2)$ be the solution curve of the differential equation…HardSingle correct