JEE Math Practice Question
Let $y=y(x)$ be the solution curve of the differential equation $x\left(x^2+e^x\right) d y+\left(\mathrm{e}^x(x-2) y-x^3\right) \mathrm{d} x=0, x>0$, passing through the point $(1,0)$. Then $y(2)$ is equal to :
- A.$\frac{2}{2+e^2}$
- B.$\frac{4}{4-e^2}$
- C.$\frac{4}{4+e^2}$
- D.$\frac{2}{2-e^2}$
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