JEE Main 2021 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 25 February 2021, Shift 2, Maths Q82

Question 82 of 90 in this shift, Maths question 22 of 30, Section B.

If the curve,

y = y(x)

represented by the solution of the differential equation

(2xy^2 - y)dx + x\,dy = 0

, passes through the intersection of the lines,

2x - 3y = 1

and

3x + 2y = 8

, then

|y(1)|

is equal to ________.

Official answer

NTA final key.

Chapter: Differential Equations
Topic: Linear Differential Equations
Idea tested: Bernoulli Equation Reduction

Same idea in other shifts

Asked 4× in all

31 Jan 2024, Shift 2 · Q27Let $y=y(x)$ be the solution of the differential equation $\sec^2x\,dx+\left(e^{2y}\tan^2x+\tan x\right)dy=0$ , $0<x<\frac{\pi}{2}$ ,…HardNumerical value
26 Feb 2021, Shift 2 · Q65Let slope of the tangent line to a curve at any point $P(x, y)$ be given by $\frac{xy^2+y}{x}$ . If the curve intersects the line $x+2y=4$ …MediumSingle correct
18 Mar 2021, Shift 2 · Q69Let $y=y(x)$ be the solution of the differential equation $\frac{dy}{dx}=(y+1)\left((y+1)e^{x^2/2}-x\right)$ , $0<x<2.1$ , with $y(2)=0$ .…HardSingle 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.