JEE Main 2017MathematicsDifferential EquationsLinear Differential EquationsmediumMCQ

JEE Main 2017Differential Equations Question with Solution

From: JEE Main 2017 (Offline)

Question

If and y(0) = 1,

then is equal to :

Choose an option

Show full solutionCorrect option: D
Correct answer
D

Step-by-step explanation





On integrating, we get

(2 + sin x) (y + 1) = C

At x = 0, y = 1 we have

(2 + sin 0) (1 + 1) = C

C = 4



y =

Now

= =

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 2017, 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.