IVP for Non-Separable Differential Equations

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I don't know how to go about this question. I would appreciate your help. given information:

$\frac{dy}{dx}=-\frac{\frac{y}{2\sqrt{xy}}+sinx}{\frac{x}{2\sqrt{xy}}+3y^2} , y(\pi)=0$

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Hint: this equation is exact.

Answer: $\sqrt{x y} - \cos x + y^3 =1$