JEE Main 2026 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 5 April 2026, Shift 2, Maths Q25

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

Let

y=y(x)

be the solution of the differential equation

(\tan x)^{1/2}\,dy=\left(\sec^3 x-(\tan x)^{3/2}\,y\right)dx

0<x<\frac{\pi}{2}

y\left(\frac{\pi}{4}\right)=\frac{6\sqrt{2}}{5}

. If

y\left(\frac{\pi}{3}\right)=\frac{4}{5}\alpha

, then

\alpha^4

equals __________.

Official answer

NTA final key.

Chapter: Differential Equations
Topic: Linear Differential Equations
Idea tested: Particular Solution Solving

Same idea in other shifts

Asked 3× in all

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
16 Mar 2021, Shift 2 · Q68If $y=y(x)$ is the solution of the differential equation $\frac{dy}{dx}+(\tan x)\,y=\sin x$ , $0\le x\le\frac{\pi}{3}$ , with $y(0)=0$ , then…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 42 of the 174 JEE Main shifts held from 2017 to 2026.