The solution of the initial value problem

$\frac{dy}{dt}=-y+2e^t,y(0)=2$

is

A$.y(t)=e^{2t}+C$

B$.y(t)=e^t-e^{-t}$

c$.y(t)=e^t+e^{-t}$

D$.y(t)=e^t+1$