JEE Main 2026 — Differential Equations Question with Solution
JEE Main 2026 (28 January Shift 1)
Question
Let be the solution of the differential equation . If , then is equal to
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Divide the equation by :
.
Let , so .
The equation becomes .
Dividing by : .
Using integrating factor : .
Integrating: .
From , we have , giving .
Therefore .
At : .
.
Let , so .
The equation becomes .
Dividing by : .
Using integrating factor : .
Integrating: .
From , we have , giving .
Therefore .
At : .
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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.