JEE Main 2023 — Differential Equations Question with Solution
From: JEE Main 2023 (Online) 31st January Morning Shift
Question
Let a differentiable function satisfy f(x)+\int_\limits{3}^{x} \frac{f(t)}{t} d t=\sqrt{x+1}, x \geq 3. Then is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C17
Step-by-step explanation
Differentiating both sides we get,
So,
Now,
So,
Now,
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This is a previous-year question from JEE Main 2023, 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.