JEE Main 2023MathematicsDifferential EquationsLinear Differential EquationshardNumerical

JEE Main 2023Differential Equations Question with Solution

From: JEE Main 2023 (Online) 6th April Morning Shift

Question

Let be a solution of the differential equation . If , then is equal to ____________.

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Show full solutionCorrect answer: 2
Correct answer
2

Step-by-step explanation

Given, differential equation



Which is linear differential equation in the form of



The general solution of the given differential equation



Since,



On putting the value of in Eq. (i), we get



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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.