JEE Main 2026 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 2 April 2026, Shift 1, Maths Q17

Question 17 of 75 in this shift, Maths question 17 of 25, Section A.

If the curve

y=f(x)

passes through the point

(1, e)

and satisfies the differential equation

dy=y(2+\log_e x)\,dx

x>0

, then

f(e)

is equal to :

(1) $e^{e}$
(2) $e^{e^2}$
(3) $e^{2e}$ Official answer
(4) $e^{2^e}$

Official answer

Option 3

NTA final key.

Chapter: Differential Equations
Topic: Variable Separable Form
Idea tested: Direct Integration

Same topic in other shifts

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.