JEE Main 2020 — Differential Equations Question with Solution
From: JEE Main 2020 (Online) 9th January Evening Slot
Question
If ; y(1) = 1; then a value of x
satisfying y(x) = e is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let y = vx
= v + x.
v + x. = =
x. = - v = =
=
= ......(1)
putting x = 1, y = 1 we get
C =
From eq. (1)
=
Put y = e
=
x2 = 3e2
x = 3
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This is a previous-year question from JEE Main 2020, 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.