- #1
sibiryk
- 32
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I have y"+y=t , y(0)=1, y'=0
After Laplace transformation a got:
(S^3+1)/(S^2(S^2+1))
After I made a partial fraction expansion
(S^3+1)/(S^2(S^2+1))=a1/S^2+a2/S+a3/(S^2+1) (1)
It comes to a system where
a2=1
a1+a3=0 (2)
a2=0
a1=1
Here I am getting confused because according to (1) and (2)
a2 is equal to 0 and 1. What I should use for inverse transformation: zero, one, or both?
After Laplace transformation a got:
(S^3+1)/(S^2(S^2+1))
After I made a partial fraction expansion
(S^3+1)/(S^2(S^2+1))=a1/S^2+a2/S+a3/(S^2+1) (1)
It comes to a system where
a2=1
a1+a3=0 (2)
a2=0
a1=1
Here I am getting confused because according to (1) and (2)
a2 is equal to 0 and 1. What I should use for inverse transformation: zero, one, or both?