(1 point) Compute the Laplace transform: -3t c{us(t)te¯* + us(t)} = e^(-3t)*1/s*e^(-5s)*s+1/s If you don't get this in 2 tries, you can get a hint.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(1 point) Compute the Laplace transform:
-3t
c{us(t)te ³ + us(t)}
} =
e^(-3t)*1/s*e^(-5s)*s+1/s
If you don't get this in 2 tries, you can get a hint.
Hint:
c{u_(1}} = 0.
S
Remember that £{uc(t)}
-3t
•
For the us(t)te-³t term, it is probably easiest to first pull e
• Remember that when us(t) comes out of L, it changes t to be t + 5.
out of L.
Transcribed Image Text:(1 point) Compute the Laplace transform: -3t c{us(t)te ³ + us(t)} } = e^(-3t)*1/s*e^(-5s)*s+1/s If you don't get this in 2 tries, you can get a hint. Hint: c{u_(1}} = 0. S Remember that £{uc(t)} -3t • For the us(t)te-³t term, it is probably easiest to first pull e • Remember that when us(t) comes out of L, it changes t to be t + 5. out of L.
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