we solved (analytically using Laplace transforms) the linear, second-order, forced ODE:

22+6+9()=()d2ydt2+6dydt+9y(t)=u(t)

with input term ()=()u(t)=cos(t) and initial conditions (0)=1y(0)=1, ||=0=(0)=2dydt|t=0=y(0)=2.

Now, write a Python function which:

During Tutorial 3 last week, we solved (analytically using Laplace transforms) the linear, second-order, forced ODE: dtdt with input term u)cos) and initial conditions yco)1. y (0) 2. Now, write a Python function which: Solves and plots y(t), NOT deviation y'(t), using the concept of transfer functions (therefore you will need to analytically derive G(s) first). Plots the analytical solution of y(t) that we derived in Tutorial 3. Compares the two curves on the same plot, up to time t = 50, using similar visuals (ielegend, axis labels and titles, etc.) as the previous projects in this notebook. . During Tutorial 3 last week, we solved (analytically using Laplace transforms) the linear, second-order, forced ODE: dtdt with input term u)cos) and initial conditions yco)1. y (0) 2. Now, write a Python function which: Solves and plots y(t), NOT deviation y'(t), using the concept of transfer functions (therefore you will need to analytically derive G(s) first). Plots the analytical solution of y(t) that we derived in Tutorial 3. Compares the two curves on the same plot, up to time t = 50, using similar visuals (ielegend, axis labels and titles, etc.) as the previous projects in this notebook