Ordinary Differential Equations using laplace transform and plotting

For the given ODE, i have used laplace transform to derive my ans. However I need to plot t towrads infinity but i am unsure as to how to code in MATLAB. May I know how to troubleshoot this?

This is the MATLAB code used to solve the ODE:

syms s t Y;

f = exp(t);

F = laplace(f,t,s);

Y1 = (s*Y);

Y2 = (((s^2)*Y)-1);

Sol = solve((9*Y1)+(3*Y2)+(3*Y)-F, Y);

sol = ilaplace(Sol,s,t);

Answer 1

[Ameer Hamza]

The solution diverges when t approaches infinity

syms s t Y;
f = exp(t);
F = laplace(f,t,s);
Y1 = (s*Y);
Y2 = (((s^2)*Y)-1);
Sol = solve((9*Y1)+(3*Y2)+(3*Y)-F, Y);
sol = ilaplace(Sol,s,t);

limit:

>> limit(sol, t, inf)
ans =
Inf

plot

fplot(sol, [0 100])

Answer 2

[madhan ravi]

 fplot(sol)