JEE Main 2023MathematicsDifferential EquationsLinear Differential EquationsmediumMCQ

JEE Main 2023Differential Equations Question with Solution

From: JEE Main 2023 (Online) 10th April Morning Shift

Question

Let be a differentiable function such that , . Then is equal to :

Choose an option

Show full solutionCorrect option: A
Correct answer
A160

Step-by-step explanation

Given that



On differentiating both sides with respect to , we get



On comparing above equation with

, where

Now, IF

Solution is



Given, .

So,

Thus,

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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.