JEE Main 2021 — Differential Equations Question with Solution
From: JEE Main 2021 (Online) 26th February Morning Shift
Question
If y = y(x) is the solution of the equation
, y(0) = 0; then
is equal to ____________.
, y(0) = 0; then
is equal to ____________.
Enter your answer
Show full solutionCorrect answer: 1
Correct answer
1
Step-by-step explanation
esin y cos y + esin y cos x = cos x
Put esin y = t
esin y cos y =
+ t cos x = cos x
I. F. =
Solution of differential equation :
at x = 0, y = 0
1 = 1 + c c = 0
esin x + sin y = esin x
sin x + sin y = sin x
sin y = 0 y = 0
= 1 + 0 + 0 + 0 = 1
Put esin y = t
esin y cos y =
+ t cos x = cos x
I. F. =
Solution of differential equation :
at x = 0, y = 0
1 = 1 + c c = 0
esin x + sin y = esin x
sin x + sin y = sin x
sin y = 0 y = 0
= 1 + 0 + 0 + 0 = 1
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This is a previous-year question from JEE Main 2021, 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.