JEE Main 2021 — Differential Equations Question with Solution
From: JEE Main 2021 (Online) 17th March Morning Shift
Question
Which of the following is true for y(x) that satisfies the differential equation
= xy 1 + x y; y(0) = 0 :
= xy 1 + x y; y(0) = 0 :
Choose an option
Show full solutionCorrect option: B
Correct answer
By(1) = e 1
Step-by-step explanation
Integrating both sides, we get
putting
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.