JEE Main 2022MathematicsDifferential EquationsLinear Differential EquationsmediumMCQ

JEE Main 2022Differential Equations Question with Solution

From: JEE Main 2022 (Online) 26th July Morning Shift

Question

If and , then the maximum value of is :

Choose an option

Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation

which is a first order linear differential equation.

Integrating factor (I. F.)

Solution of differential equation can be written as

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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.