JEE Main 2022MathematicsDifferential EquationsLinear Differential EquationsmediumNumerical

JEE Main 2022 — Differential Equations Question with Solution

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

Question

Let . Let , x S, be the solution curve of the differential equation . If the sum of abscissas of all the points of intersection of the curve y = y(x) with the curve is , then k is equal to _____________.

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Show full solutionCorrect answer: 42
Correct answer
42

Step-by-step explanation

When , gives c = 1

So

Now,

or

gives only.

and

So or or

Sum of all solutions

Hence, .

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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.