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Exercise

$y\cdot\frac{dy}{dx}=\sin\left(x\right)\cdot e^{x+2y}$

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Final answer to the exercise

$\frac{-2y-1}{4e^{2y}}=\frac{1}{2}\left(e^x\sin\left(x\right)-e^x\cos\left(x\right)\right)$

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