JEE Main 2020 — Differential Equations Question with Solution
From: JEE Main 2020 (Online) 8th January Morning Slot
Question
Let y = y(x) be a solution of the differential
equation,
, |x| < 1.
If , then is equal to :
, |x| < 1.
If , then is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Given
sin-1 y + sin-1 x = c
Given that
So when x = then y =
sin-1 + sin-1 = c
c = + =
So sin-1 y + sin-1 x =
sin-1 y = - sin-1 x
sin-1 y = cos-1 x
Now means x = and find y.
Putting x =
sin-1 y = cos-1 =
y (at x = ) = sin() =
sin-1 y + sin-1 x = c
Given that
So when x = then y =
sin-1 + sin-1 = c
c = + =
So sin-1 y + sin-1 x =
sin-1 y = - sin-1 x
sin-1 y = cos-1 x
Now means x = and find y.
Putting x =
sin-1 y = cos-1 =
y (at x = ) = sin() =
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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.