JEE Main 2026 — Differential Equations Question with Solution
JEE Main 2026 (05 April Shift 2)
Question
Let be the solution of the differential equation , , . If , then equals _______.
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Show full solutionCorrect answer: 48
Correct answer
48
Step-by-step explanation
The given differential equation can be rewritten as:
This is a linear differential equation of the form .
Integrating Factor (IF) =
Multiplying both sides by the IF and integrating, we get:
Let , then .
Given , substituting :
The solution is .
Substituting :
Given , we have:
Therefore,
Answer:
This is a linear differential equation of the form .
Integrating Factor (IF) =
Multiplying both sides by the IF and integrating, we get:
Let , then .
Given , substituting :
The solution is .
Substituting :
Given , we have:
Therefore,
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.