JEE Main 2021MathematicsDifferential EquationsSolution Of Differential Equations By Method Of Separation Variables And HomogeneoushardMCQ

JEE Main 2021Differential Equations Question with Solution

From: JEE Main 2021 (Online) 20th July Morning Shift

Question

Let y = y(x) be the solution of the differential equation , , . Then the area of the region bounded by the curves x = 0, and y = y(x) in the upper half plane is :

Choose an option

Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation

We have,





Put





Now, we get







As,







So, required bounded area

(I. B. P.)

Option (1) is correct.

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Differential Equations chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

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.