JEE Main 2026 — Differential Equations Question with Solution
JEE Main 2026 (28 January Shift 2)
Question
Let be the solution of the differential equation . If , then is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
The differential equation can be rewritten as .
The integrating factor is . Multiplying by gives .
Integrating: , so .
Using : we get , thus .
Therefore .
Now: and .
Thus .
The integrating factor is . Multiplying by gives .
Integrating: , so .
Using : we get , thus .
Therefore .
Now: and .
Thus .
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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.