JEE Main 2019 — Differential Equations Question with Solution
From: JEE Main 2019 (Online) 8th April Morning Slot
Question
Let y = y(x) be the solution of the differential equation,
such that y(0) = 0. If = , then the value of 'a' is :
such that y(0) = 0. If = , then the value of 'a' is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
I.F =
Integrating both sides we get,
= + C
When x = 0 then y = 0
So, 0 = 0 + C
C = 0
=
Put x = 1,
y.(2) =
y = = y(1)
Given,
=
=
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This is a previous-year question from JEE Main 2019, 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.