JEE Main 2021 — Differential Equations Question with Solution
From: JEE Main 2021 (Online) 25th February Evening Shift
Question
If the curve, y = y(x) represented by the solution of the differential equation (2xy2 y)dx + xdy = 0, passes through the intersection of the lines, 2x 3y = 1 and 3x + 2y = 8, then |y(1)| is equal to _________.
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Show full solutionCorrect answer: 1
Correct answer
1
Step-by-step explanation
Given,
I. F.
As it passes through P(2, 1)
[Point of intersection of and ]
Put x = 1
I. F.
As it passes through P(2, 1)
[Point of intersection of and ]
Put x = 1
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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.