y''(t)-2*y'(t)-8*y(t) = 3*x'(t) - 2*x(t)

I know how to do simpler ones, but not with the right side like it is.

then also, If possible, with x(t) = u(t) (step function) , and all intial cond. =0 I need the zero state response. (using inverse laplace transform)

ideally i would like to know how to do it by hand, and the proper syntax for matlab if possible.. if im asking for too much, just do what you can.

thanks.