If y=y(x) is the solution of the equation esinycosydydx+esinycosx=cosx – InterviewSolution

1.	If y=y(x) is the solution of the equation esinycosydydx+esinycosx=cosx, y(0)=0; then 1+y(π6)+√32y(π3)+1√2y(π4) is equal to
Answer» If $y = y (x)$ is the solution of the equation $e^{sin y} cos y \frac{d y}{d x} + e^{sin y} cos x = cos x,$ $y (0) = 0;$ then $1 + y (\frac{π}{6}) + \frac{\sqrt{3}}{2} y (\frac{π}{3}) + \frac{1}{\sqrt{2}} y (\frac{π}{4})$ is equal to

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