The function y specified implicitly by the relation \\int_{0} ^{y} e^{t} d t+\\int_{0} ^{x} \cos t d t=0 satisfies thedifferential equation

Correct Answer is : ey(d2ydx2+(dydx)2)=sinx

e^{2 y}({d^{2} y}/{d x^{2}}+(\frac{d y}{d x})^{2})=\sin x

e^{ y}({d^{2} y}/{d x^{2}}+(\frac{d y}{d x})^{2})=\sin 2x

e^{ y}(2{d^{2} y}/{d x^{2}}+(\frac{d y}{d x})^{2})=\sin x

e^{ y}({d^{2} y}/{d x^{2}}+(\frac{d y}{d x})^{2})=\sin x

UPSEE 2017 Solved Paper

Question : 150 of 150

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The function y specified implicitly by the relation

∫

etdt+

∫

cos‌t‌d‌t=0 satisfies thedifferential equation

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