If y Is the Solution of x.... | JEE Main 2022 | Differential

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JEE MAIN 2022

26-06-22 S2

Question

If $y=y(x)$ is the solution of the differential equation $x \frac{d y}{d x}+2 y=x e^x, y(1)=0$, then the local maximum value of the function $z(x)=x^2 y(x)-e^x, x \in R$ is :

Select the correct option:

A

1 – e

B

00

C

$\frac{1}{2}$

D

$\frac{4}{\mathrm{e}}-\mathrm{e}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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