# Homework Help: Laplace Transform question

1. Mar 9, 2009

1. The problem statement, all variables and given/known data
L{sinh(bt)}

2. Relevant equations
sinh(bt)=(e^bt-e^-bt)

3. The attempt at a solution
so the answer says it's b/(s^2-b^2)

but get get that far.. here's what i have

...

1/2L{e^bt}+1/2L{e^-bt}

= 1/2[e^((s-b)t)-e^((s+b)t)]

2. Mar 9, 2009

### lanedance

first sinh(bt)=(e^bt-e^-bt))/2

not sure what you are doing here, I just went to the Tables & see
$$L(e^{-\alpha t}}) = \frac{1}{s+\alpha}$$

can you show this? and use it?

3. Mar 9, 2009