JEE Main 2026 — Differential Equations Question with Solution
JEE Main 2026 (24 January Shift 2)
Question
Let be a differentiable function in the interval such that , and for each . Then is equal to
Choose an option
Show full solutionCorrect option: A
Correct answer
A23
Step-by-step explanation
Given the limit .
The limit is in form. Applying L'Hopital's Rule with respect to :
Substituting :
Dividing by to make it a linear differential equation or recognizing the quotient rule form:
Integrating both sides with respect to :
Given :
So,
We need to find :
The limit is in form. Applying L'Hopital's Rule with respect to :
Substituting :
Dividing by to make it a linear differential equation or recognizing the quotient rule form:
Integrating both sides with respect to :
Given :
So,
We need to find :
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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.