mathstresser
Junior Member
- Joined
- Jan 28, 2006
- Messages
- 134
Find the inverse Laplace Transform:
\(\displaystyle \L\\ \frac{7s^2\, +\, 20s\, +\, 53}{(s\, -\, 1)(s^2\, +\, 2s\, +\, 5)}\)
I can set that eqaul to:
\(\displaystyle \L\\ \frac{A}{s\, -\, 1}\, +\, \frac{Bs\, +\, C}{s^2\, +\, 2s\, +\, 5}\)
The first part I would get:
\(\displaystyle \L\\ Ae^{1t}\)
for the next part do I split it up and get:
\(\displaystyle \L\\ \frac{Bs}{s^2\, +\, 2s\, +\, 5}\, +\, \frac{C}{s^2\, +\, 2s\, +\, 5}\)
What do I do now?
\(\displaystyle \L\\ \frac{7s^2\, +\, 20s\, +\, 53}{(s\, -\, 1)(s^2\, +\, 2s\, +\, 5)}\)
I can set that eqaul to:
\(\displaystyle \L\\ \frac{A}{s\, -\, 1}\, +\, \frac{Bs\, +\, C}{s^2\, +\, 2s\, +\, 5}\)
The first part I would get:
\(\displaystyle \L\\ Ae^{1t}\)
for the next part do I split it up and get:
\(\displaystyle \L\\ \frac{Bs}{s^2\, +\, 2s\, +\, 5}\, +\, \frac{C}{s^2\, +\, 2s\, +\, 5}\)
What do I do now?