JEE Main 2022 · MathsMultiple choiceSingle correctHardConceptual

JEE Main 27 July 2022, Shift 1, Maths Q10

Question 10 of 90 in this shift, Maths question 10 of 30, Section A.

Let

y = y_1(x)

and

y = y_2(x)

be two distinct solutions of the differential equation

\dfrac{dy}{dx} = x + y

, with

y_1(0) = 0

and

y_2(0) = 1

respectively. Then, the number of points of intersection of

y = y_1(x)

and

y = y_2(x)

(1)0Official answer
(2)1
(3)2
(4)3

Official answer

Option 1

NTA final key.

Chapter: Differential Equations
Topic: Linear Differential Equations
Idea tested: Analyzing Roots of LDE Solutions

Same topic in other shifts

All Linear Differential Equations questions

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8 Apr 2026, Shift 2 · Q17Let $y = y(x)$ be the solution of the differential equation $x\sqrt{1-x^2}\,dy + \left(y\sqrt{1-x^2} - x\cos^{-1}x\right)dx = 0$ ,…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.