JEE Main 2024 — Differential Equations Question with Solution
From: JEE Main 2024 (Online) 8th April Morning Shift
Question
Let be a positive function such that the area bounded by from to is . Then the differential equation, whose general solution is , where and are arbitrary constants, is
Choose an option
Show full solutionCorrect option: B
Step-by-step explanation
\int_\limits0^a f(x) d x=e^{-a}+4 a^2+a-1
Differentiate equation w.r.t. 'a'
And
put value of
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This is a previous-year question from JEE Main 2024, 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.