`e^SinyCosydy/dx+e^SinyCosx=Cosx` Find general solution for this

General solution of cosx=1 is

Find the general solution of : cosx+sinx=1

Find the general solution of : cosx-sinx=-1

Find the general solution of : sqrt(3)cosx-sinx=1

General solution of cosx-sinx=1 is

Find the general solution of (dy)/(dx)+ay=e^(mx)

General solution of cosx=(-1)/(2) is

∫e^x (Cosx + Sinx) dx

Assertion: The general solution of ( dy ) /( dx) + y =1 is y e^x = e ^(X)+C Reason: The number of arbitrary constant in the general solution of the differential equation is equal to the order of D.E.