Finding a general solution to a system

I'm having trouble getting started on finding a general solution to the following:

du/dt=1-v and dv/dt=u-1 (a non-homogeneous linear system).

Would the ode45() function be the best way to do this? How would I go about getting rid of the imaginary numbers and putting it into the form of sine and cosine?

[Walter Roberson]

No, for general solutions you would use dsolve()