Can anyone help me answer this question with matlab?

G(s)=K(s^2+6s+25)/(s(s+1)〖(s+5)(s+7)〗^2 )

Determine 𝑐(𝑡) by using inverse Laplace for 𝐾=1 and 𝑟(𝑡)=𝑢(𝑡)

Answer 1

[Ameer Hamza]

You need the symbolic toolbox for this

syms s t
K = 1;
U(s) = 1/s;
G(s) = K*(s^2+6*s+25)/(s*(s+1)*((s+5)*(s+7))^2);
C(s) = G*U;

c(t) = ilaplace(C)

Following is the output from symbolic toolbox

[Muhammad K. Anwar]

thank you

[Ameer Hamza]

I am glad to be of help!