JEE Main 2020MathematicsDifferential EquationsSolution Of Differential Equations By Method Of Separation Variables And HomogeneousmediumMCQ

JEE Main 2020 — Differential Equations Question with Solution

From: JEE Main 2020 (Online) 2nd September Evening Slot

Question

If a curve y = f(x), passing through the point (1, 2), is the solution of the differential equation,
2x2dy= (2xy + y2)dx, then is equal to :

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation









Let





This is linear differentiatial equation.











This curve passes through the point (1, 2)













So,

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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.