JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 28 June 2022, Shift 2, Maths Q10

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

Let

x=x(y)

be the solution of the differential equation

2y\,e^{x/y^2}\,dx+\left(y^2-4xe^{x/y^2}\right)dy=0

such that

x(1)=0

. Then,

x(e)

is equal to :

(1) $e \log_e(2)$
(2) $-e \log_e(2)$
(3) $e^2 \log_e(2)$
(4) $-e^2 \log_e(2)$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Differential Equations
Topic: Variable Separable Form
Idea tested: Exponential and Logarithmic Substitutions

Same topic in other shifts

All Variable Separable Form questions

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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.