JEE Main 2021 — Differential Equations Question with Solution
From: JEE Main 2021 (Online) 27th August Evening Shift
Question
If the solution curve of the differential equation (2x 10y3)dy + ydx = 0, passes through the points (0, 1) and (2, ), then is a root of the equation :
Choose an option
Show full solutionCorrect option: D
Correct answer
Dy5 y2 1 = 0
Step-by-step explanation
Solution of D.E. is
It passes through (0, 1) 0 = 2 + C C = 2
Curve is
Now, it passes through (2, )
is root of an equation
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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.