Please uses matlab software to solve it Find the inverse Lap

Please uses matlab software to solve it.

Find the inverse Laplace transform of F(s) = 2(s + 3) (s + 5) (s + 7)/s(s + 8) (s^2 + 10s + 100)

Write a matlab script following the instructions given below.

syms t s % define two symbolic variables s and t

F = (2*(s+3)*(s+5)*(s+7))/(s*(s+8)*(s^2+10*s+100)); % define the transformed function in terms of s

ilaplace(F,s,t) % calculate the inverse Laplace transform using ilaplace in terms of t

Save the script and then run.

The result will be displayed on the command window.

ans =

5/(112*exp(8*t)) + (237*(cos(5*3^(1/2)*t) + (3^(1/2)*sin(5*3^(1/2)*t))/9))/(140*exp(5*t)) + 21/80