JEE Main 2023MathematicsDifferential EquationsSolution Of Differential Equations By Method Of Separation Variables And HomogeneousmediumMCQ

JEE Main 2023Differential Equations Question with Solution

From: JEE Main 2023 (Online) 31st January Evening Shift

Question

Let be the solution of the differential equation



such that . Then is equal to :

Choose an option

Show full solutionCorrect option: D
Correct answer
D

Step-by-step explanation





Put









Or,

Put : we get



........(1)

Put in equation (1), we get





Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Differential Equations chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2023, 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.