Solve y′=ycosxy' = y \cos xy′=ycosx with y(0)=1y(0) = 1y(0)=1.
y=esinxy = e^{\sin x}y=esinx
y=ecosxy = e^{\cos x}y=ecosx
y=sinx+1y = \sin x + 1y=sinx+1
y=cosxy = \cos xy=cosx