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Find the function y(t) whose Laplace transforms are the follow (a) 1/(s' -s-2) and (b) 2s/[(s+1)(s² +4)].

Find the function y(t) whose Laplace transforms are the follow (a) 1/(s' -s-2) and (b) 2s/[(s+1)(s² +4)].

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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Find the function y(t) whose Laplace transforms are the following
(a) 1 / (s2 - s - 2)
(b) 2s / [(s + 1)(s2 + 4)]

Find the function y(t) whose Laplace transforms are the following (a) 1/(s -s- 2) and (b) 2s/[(s+1)(s² + 4)].
Transcribed Image Text:Find the function y(t) whose Laplace transforms are the following (a) 1/(s -s- 2) and (b) 2s/[(s+1)(s² + 4)].
Expert Solution
Part(a) Step 1

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F(s)=\frac{1}{s^2-s-2}

F(s)=\frac{1}{\left(s^2+s\right)+\left(-2s-2\right)}

F(s)=\frac{1}{s\left(s+1\right)-2\left(s+1\right)}

F(s)= \frac{1}{\left(s+1\right)\left(s-2\right)}

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