Home / Expert Answers / Calculus / compute-the-inverse-laplace-transform-of-f-s-frac-s-6-s-2-8-s-16-e-5-s-f-t-pa142

(Solved): Compute the inverse Laplace transform of \[ F(s)=\frac{s+6}{s^{2}+8 s+16} e^{-5 s} \] \[ f(t)= \] ...



Compute the inverse Laplace transform of
\[
F(s)=\frac{s+6}{s^{2}+8 s+16} e^{-5 s}
\]
\[
f(t)=
\]
(Notation: write u(t-c) for

Compute the inverse Laplace transform of \[ F(s)=\frac{s+6}{s^{2}+8 s+16} e^{-5 s} \] \[ f(t)= \] (Notation: write u(t-c) for the Heaviside step function \( u_{c}(t) \) with step at \( t=c \).) If you don't get this in 2 tries, you can get a hint.


We have an Answer from Expert

View Expert Answer

Expert Answer


F(s)=s+6s2+8s+16e?3s apply inverse transform rule L?1{F(s)}=f(t) then L?1{e?asF(s)}=u(t?a)f(t?a) u(t-c) for heavy side step function for s+6(s+4)2e?3s
We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe