JEE Main 2025MathematicsDifferential EquationsSolution Of Differential Equations By Method Of Separation Variables And HomogeneousmediumMCQ

JEE Main 2025Differential Equations Question with Solution

From: JEE Main 2025 (Online) 22nd January Morning Shift

Question

Let be a real differentiable function such that and for all . Then \sum_\limits{n=1}^{100} \log _e f(n) is equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C2525

Step-by-step explanation

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Differential Equations chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2025, 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.