Question: Find the inverse Laplace transform in two different ways: (i) Use tables. (ii) Use the Bromwich Integral. a. (F(s)=frac{1}{s^{3}(s+4)^{2}}). b. (F(s)=frac{1}{s^{2}-4 s-5}). c. (F(s)=frac{s+3}{s^{2}+8 s+17}).
Find the inverse Laplace transform in two different ways:
(i) Use tables.
(ii) Use the Bromwich Integral.
a. \(F(s)=\frac{1}{s^{3}(s+4)^{2}}\).
b. \(F(s)=\frac{1}{s^{2}-4 s-5}\).
c. \(F(s)=\frac{s+3}{s^{2}+8 s+17}\).
d. \(F(s)=\frac{s+1}{(s-2)^{2}(s+4)}\).
e. \(F(s)=\frac{s^{2}+8 s-3}{\left(s^{2}+2 s+1\right)\left(s^{2}+1\right)}\).
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