Re: complex exponentials.

Yes, and using the fact that is the real part of (that is the "complex exponential") makes it very easy.

Re: complex exponentials.

I still dont really get it is there any other way to help explain it? i did the first derivative and got down to

1/13*e^(-3t) *( -3 cos2t + sin2t) + c

What would be the next step or have i gone about it the hard way? thanks for your help.

Re: complex exponentials.

yeah it is easy all i had to do was square the (1/(-3+2i)) which is like integrating twice. I hope that's what you mean to do.