O.D.E. Complementary and Particular Solution

[kahless2005]

Not exactly homework, but it is a problem I'm having...

Im given an ode that reads:
y"-2y'-3y = 6;
y_c = C_1 * /exp^-x + C_2 * /exp^3x
y_p is -2

y(0) = 3
y'(0) = 11

Now I am tasked to find what C_1 and C_2 are.

I know that y(x) = y_c + y_p
so:
y = C_1 * /exp^-x + C_2 * /exp^3x - 2
and
y' = -C_1 * /exp^-x + 3 * C_2 * /exp^3x

The book defines the answers as:
C_1 = 1 and C_2 = 4

Yet when I work it out, I've gotten C_1 = 2 and C_2 = 3.

What am I doing wrong?

NOTE: I hope I did the itex right... my computer isn't showing them...

 

[kahless2005]

Nevermind... I got it to work. I had a simple Aritmatic Error