Let y=y(x) be solution of the following differential equation eydydx� – InterviewSolution

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1.	Let y=y(x) be solution of the following differential equation eydydx−2eysinx+sinxcos2x=0, y(π2)=0. If y(0)=loge(α+βe–2), then 4(α+β) is equal to
Answer» Let $y = y (x)$ be solution of the following differential equation $e^{y} \frac{d y}{d x} - 2 e^{y} sin x + sin x {cos}^{2} x = 0,$ $y (\frac{π}{2}) = 0$ . If $y (0) = {log}_{e} (α + β e^{- 2}),$ then $4 (α + β)$ is equal to

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