JEE Main 2020MathematicsDifferential EquationsEasyMCQ

JEE Main 2020 — Differential Equations Question with Solution

JEE Main 2020 (08 Jan Shift 2)

Question

The differential equation of the family of curves, x2=4by+b, b∈R, is.

Choose an option

Show full solutionCorrect option: A
Correct answer
Axy'2=x+2yy'

Step-by-step explanation

x2=4by+b

Differentiate both sides,

2x=4by' 

⇒b=x2y'

So, the differential equation is 

x2=2xy'y+xy'2

⟹xdydx2=2ydydx+x

⇒xy'2=x+2yy'

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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.