JEE Main 2026 — Differential Equations Question with Solution
JEE Main 2026 (22 January Shift 1)
Question
Let be a differentiable function. If for all , then the value of is
Choose an option
Show full solutionCorrect option: B
Correct answer
B3
Step-by-step explanation
Differentiating :
.
.
Integrating: .
At : . So .
. , .
.
.
.
Integrating: .
At : . So .
. , .
.
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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.