Is My Inverse Laplace Transform Solution Equivalent to the Book's Answer?

[mxpxer7]

I'm doing lapace transforms and I'm to the stage where I am finding inverse transforms. A problem I am stuck on involves doing partial fractions of a complex equation. I have attempted to do it, and now I have a question about my answer.

My answer is

-2i+1exp((1-i)*t) + -2i+1exp((1+i)*t)

Books answer

2exp(t)cos(t)+3exp(t)sin(t)

Is my answer equivalent?

 

[g_edgar]

Can you convert the book's answer into exp functions (no trig)? Then they should be easy to compare.

 

[ktoobi]

use this:

e^j$$\theta$$ = cos $$\theta$$ + j sin $$\theta$$

this will help you out

http://en.wikibooks.org/wiki/High_School_Mathematics_Extensions/Supplementary/Complex_Numbers