JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 28 June 2022, Shift 1, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

Let

y=y(x)

be the solution of the differential equation

x(1-x^2)\frac{dy}{dx}+(3x^2y-y-4x^3)=0,\ x>1

, with

y(2)=-2

. Then

y(3)

is equal to

(1) $-18$ Official answer
(2) $-12$
(3) $-6$
(4) $-3$

Official answer

Option 1

NTA final key.

Chapter: Differential Equations
Topic: Linear Differential Equations
Idea tested: Coefficient Normalization for Standard Form

Same idea in other shifts

Asked 3× in all

6 Apr 2026, Shift 1 · Q25Let $y=y(x)$ be the solution of the differential equation…HardNumerical value
6 Apr 2024, Shift 1 · Q14Let $y=y(x)$ be the solution of the differential equation $(2x\log_e x)\frac{dy}{dx}+2y=\frac{3}{x}\log_e x$ , $x>0$ and $y(e^{-1})=0$ .…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.