JEE Main 2022MathematicsDifferential EquationsSolution Of Differential Equations By Method Of Separation Variables And HomogeneousmediumMCQ

JEE Main 2022Differential Equations Question with Solution

From: JEE Main 2022 (Online) 28th June Evening Shift

Question

Let x = x(y) be the solution of the differential equation

such that x(1) = 0. Then, x(e) is equal to :

Choose an option

Show full solutionCorrect option: D
Correct answer
D

Step-by-step explanation

Given differential equation

...... (i)

Now, using x(1) = 0, c = 2

So, for x(e), Put y = e in (i)

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About this question

This is a previous-year question from JEE Main 2022, covering the Differential Equations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.