JEE Main 2026 — Differential Equations Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
Let be the solution of the differential equation , . Then is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
The differential equation is , or .
This is a linear ODE with integrating factor .
Multiplying both sides and integrating:
Computing the integral:
For the second term, using integration by parts:
Thus:
Simplifying:
Using gives .
Therefore:
This is a linear ODE with integrating factor .
Multiplying both sides and integrating:
Computing the integral:
For the second term, using integration by parts:
Thus:
Simplifying:
Using gives .
Therefore:
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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.