I am having trouble finding the inverse Laplace transform of: \frac{1}{s^2-9s+20} I

Rowan Huynh 2022-04-27 Answered
I am having trouble finding the inverse Laplace transform of:
1s29s+20
I tried writing it in a different way:
L1{1(s92)2(12)2}=2L1{12(s92)2(12)2}
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Answers (2)

Yaretzi Odom
Answered 2022-04-28 Author has 16 answers
I'll give you a hint, because I think it might be useful for you to get practice. If you need more tell in comment: try rewriting this using partial fractions and then use the linearity of the inverse laplace.
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amisayq6t
Answered 2022-04-29 Author has 18 answers
I have done it:
X(s)=1s29s+20=1(s4)(s5)=1s4+1s5
=>x(t)=e4t+e5t
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