JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 31 January 2024, Shift 2, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

Let

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}

y\left(\frac{\pi}{4}\right)=0

. If

y\left(\frac{\pi}{6}\right)=\alpha

, then

e^{8\alpha}

is equal to ________.

Official answer

NTA final key.

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

Same topic in other shifts

All Linear Differential Equations 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 42 of the 174 JEE Main shifts held from 2017 to 2026.