- #1
nateja
- 33
- 0
Homework Statement
Find the solution of the givien initial value problem and draw its graph
y''+2y'+2y = δ(t-π) y(0) = 1, y'(0) = 0
Homework Equations
A Laplace transform chart would be very useful
The Attempt at a Solution
I chose to solve the equation with Laplace transforms. I took the laplace of the whole equation and then solved for the L(y):
L(y) = (e^(-πs)+s+2)/(s^2+2s+2)
I double checked to make sure I didn't make any errors in my Laplace calculation and I did the algerbra correctly. So I have the right equation. However, my issue is now decomposing this equation - how do you do that?
You can't factor out the denominator? and I can't just set the numerator to As+B can I? The e^s term would make that useless...
Any ideas?