JEE Main 2026 — Differential Equations Question with Solution
JEE Main 2026 (04 April Shift 1)
Question
Let be the solution of the differential equation , . Then is equal to:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
The given differential equation is .
Separating the variables:
Integrating both sides:
Given , substituting and :
Substituting to find :
Answer:
Separating the variables:
Integrating both sides:
Given , substituting and :
Substituting to find :
Answer:
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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.