Hi, I would be really grateful to anyone who may help with this...

I need to find the general solution for the differential equation

dy/dx = (cos x - sin x)e^cos x + sin x - y

(giving the solution in implicent form)

I have differentiate the function f(x) = e^cos x + sin x using the Composite Rule into (cos x - sin x) e ^ cos x + sin x (Is this correct?)

I also need to find the particular solution of the differential equation for which y = 1 when x = 0 and then give this particular solution in explicit form..

Many thanks for any help!