JEE Main 2021 — Differential Equations Question with Solution
From: JEE Main 2021 (Online) 20th July Evening Shift
Question
Let a curve y = y(x) be given by the solution of the differential equation . If it intersects y-axis at y = 1, and the intersection point of the curve with x-axis is (, 0), then e is equal to __________________.
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Show full solutionCorrect answer: 2
Correct answer
2
Step-by-step explanation
Put cos1(ex) , [0, ]
Put
Put
, passes through (, 0)
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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.