JEE Main 2021 — Differential Equations Question with Solution
From: JEE Main 2021 (Online) 22th July Evening Shift
Question
Let y = y(x) be the solution of the differential equation , y(1) = 1. If the domain of y = y(x) is an open interval (, ), then | + | is equal to ______________.
Enter your answer
Show full solutionCorrect answer: 4
Correct answer
4
Step-by-step explanation
Let y + 1 = Y and x + 2 = X
dy = dY
dx = dX
(1, 1) satisfy this equation
So,
Now,
Domain :
So,
dy = dY
dx = dX
(1, 1) satisfy this equation
So,
Now,
Domain :
So,
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.