JEE Main 2026 — Differential Equations Question with Solution
JEE Main 2026 (23 January Shift 2)
Question
If the solution curve of the differential equation
,
passes through the point , then the local maximum value of is .
,
passes through the point , then the local maximum value of is .
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Show full solutionCorrect answer: 16
Correct answer
16
Step-by-step explanation
Rewriting: .
IF .
.
. At : .
.
(for ).
at , confirming local maximum.
.
IF .
.
. At : .
.
(for ).
at , confirming local maximum.
.
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This is a previous-year question from JEE Main 2026, 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.