Solve dydx=cos(x)ey\frac{dy}{dx} = \cos(x)e^ydxdy=cos(x)ey with y(0)=0y(0) = 0y(0)=0.
y=−ln(1−sin(x))y = -\ln(1 - \sin(x))y=−ln(1−sin(x))
y=ln(1+sin(x))y = \ln(1 + \sin(x))y=ln(1+sin(x))
y=sin(x)y = \sin(x)y=sin(x)
y=esin(x)y = e^{\sin(x)}y=esin(x)