JEE Main 2019 — Differential Equations Question with Solution
From: JEE Main 2019 (Online) 10th April Evening Slot
Question
Let y = y(x) be the solution of the differential equation,
, , such that y(0) = 1. Then :
, , such that y(0) = 1. Then :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
I.F. = = = sec x
y. sec x =
y(0) = 0 + = 1 = 1
y = x2 + cos x
y' = 2x – sinx
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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.