JEE Main 2020 — Differential Equations Question with Solution
From: JEE Main 2020 (Online) 6th September Evening Slot
Question
If is the solution of the
differential equation,
,
, then the function p(x) is equal to :
,
, then the function p(x) is equal to :
Choose an option
Show full solutionCorrect option: A
Correct answer
Acot x
Step-by-step explanation
Differentiate w.r.t x
cosec x - cosec x.cot x
+ cosec x.cot x = cosec x
+ ycot x = cosec x
Compare this differential equation with given differential equation, we get
p(x) = cot x
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 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.