# What do you Know about ODE?

Calculus Level 4

$\frac{dy}{dx}=-\dfrac{2e^{2x}\sin(y)+xy^2}{e^{2x}\cos(y)+x^2y}$ Given the ODE above and knowing the point $$(0,\frac{\pi}{2})$$ belongs to its solution. If the point $$(\frac{\sqrt{a}}{\pi},\pi)$$ belongs to the solution too, find the value of $$a$$.

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