This is a Matlab Question: Objective: Solve an IVP using the Laplace transform D

Question

This is a Matlab Question: Objective: Solve an IVP using the Laplace transform Define g(t) = 3 if 0 < t < 2 g(t) = t+1 if 2 < t < 5 g(t) = 5 if t > 5

When I am trying to do ezplot(y,[0,12]) I got error message.

Need someone help with the code, thanks.

Exercise Objective Solve an IVP using the Laplace transform Details s De fine g(t) 3 if 0 t 2 s g(t) if t+1 2 t 5 s g(t) 5 if t 5 s s Solve the IVP 2y '+5y g (t) s y (0) 2 and y' (0) 1I s 6 Plot the solution for lt in 0,121 l and ly in I [0, 2.25] l. s (in your answer, explain your steps using comments). Gyms g y(t) t Y G (t 3*( 1-heaviside (t-2)) (t+1) (heaviside t-2)-heaviside (t-5))+5*(heaviside Laplace (g) ODE diff (y(t) t,2)+2*diff(y (t),t, +5*y (t) ODE laplace (ODE)-G %calculate laplace transform ODE-subs (L ODE (0) ,2) ODE subs (L ODE D (y) (0 ',1) 0DEE subs (L 0DE, laplace (y(t), t s) Y) %factor out the y(t) Y solve (L ODE,Y)

Explanation / Answer

Here inserted domain is wrong.

You should use ezplot(y,[0,2.25])

as this interval is mentioned for y in the coding also.

Answer

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