Let y = y(x) be the solution... | Differential Equations JEE Main 2021

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JEE MAIN 2021

25-07-2021 S2

Question

Let $y=y(x)$ be the solution of the differential equation $x d y=\left(y+x^3 \cos x\right) d x$ with $y(\pi)=0$, then $y\left(\frac{\pi}{2}\right)$ is equal to:

Select the correct option:

A

$\frac{\pi^2}{4}+\frac{\pi}{2}$

B

$\frac{\pi^2}{2}+\frac{\pi}{4}$

C

$\frac{\pi^2}{2}-\frac{\pi}{4}$

D

$\frac{\pi^2}{4}-\frac{\pi}{2}$

✓ Correct! Well done.

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