Question: Theorem 7 . 2 . 1 - Some Inverse Transforms a . 1 = L ^ ( - 1 ) { ( 1 ) /

Theorem 7.2.1- Some Inverse Transforms
a.1=L^(-1){(1)/(s)}
b. t^(n)=L^(-1){(n!)/(s^(n+1))},n=1,2,3,dots
c. e^(at)=L^(-1){(1)/(s-a)}
d. sin(kt)=L^(-1){(k)/(s^(2)+k^(2))}
e. cos(kt)=L^(-1){(s)/(s^(2)+k^(2))}
f. sinh(kt)=L^(-1){(k)/(s^(2)-k^(2))}
g. cosh(kt)=L^(-1){(s)/(s^(2)-k^(2))}t.L^(-1){(6s-12)/((s^(2)+s)(s^(2)+1))}
Theorem 7 . 2 . 1 - Some Inverse Transforms a . 1

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