- 208

- 0

**1. Homework Statement**

**Inverse laplace transforms**

F(s)=[tex]\frac{5s-2}{s^{2}(s-1)(s+2)}[/tex]

**2. Homework Equations**

Residue technique

**3. The Attempt at a Solution**

F(s)=[tex]\frac{5s-2}{s^{2}(s-1)(s+2)} = \frac{k1}{s^{2}} + \frac{k2}{s-1} + \frac{k3}{s+2}[/tex]

I solved for K1,K2, and K3, which all came to be 1.

answer=[tex]e^{t}+e^{-2t}+t [/tex]

textbook answer = [tex]e^{t}+e^{-2t}+t -2[/tex]

Can someone explain to me how did the -2 come?

Last edited: