JEE Main 2025 — Differential Equations Question with Solution
JEE Main 2025 (7 Apr Shift 1)
Question
Let be the solution curve of the differential equation
passing through the point . Then is equal to :
passing through the point . Then is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let
Now
Passing through
$\begin{aligned}
& \Rightarrow C=-1 \\ & y=\frac{x-1}{1+\frac{e^x}{x^2}} \\ & y(2)=\frac{1}{1+\frac{e^2}{4}}=\frac{4}{4+e^2}
\end{aligned}$
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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.