asked 119k views
2 votes
(2s+5)/(s^2+6s+34) inverse Laplace transform

asked
User Kumputer
by
8.5k points

1 Answer

6 votes
(2s+5)/(s^2+6s+9+25) = (2s+6-1)/((s+3)^2+25) = (2(s+3)-1)/((s+3)^2+5^2) = 2[(s+3)/((s+3)^2+5^2) - 1/5 (5 / ((s+3)^2+5^2))
Hence inverse Laplace transform is 2e^(-3t)cos 5t - (1/5) e^(-3t)sin 5t
answered
User Boris Kotov
by
8.1k points
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