Let y=y(x) be the | Differential Equations | JEE Main 2024

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JEE Main 2024

04-04-2024

Question

Let y=y(x) be the solution of the differential equation $\left(x^2+4\right)^2 d y+\left(2 x^3 y+8 x y-2\right) d x=0$. If $y(0)=$ 0 , then $y(2)$ is equal to

Select the correct option:

A

$\frac{\pi}{8}$

B

$\frac{\pi}{16}$

C

$2 \pi$

D

$\frac{\pi}{32}$

✓ Correct! Well done.

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