JEE Main 2023 — Differential Equations Question with Solution
From: JEE Main 2023 (Online) 12th April Morning Shift
Question
Let , be a solution curve of the differential equation . If and , then
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Isolating the term , we get :
This can be simplified using the rule to :
Since for any , this simplifies to :
Using the given value of , which is , we find :
Since is positive and so the absolute value does not affect the result.
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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.