Chapter 6.4, Problem 5P

(a)

To determine

The solution of the initial value problem $y″+y\prime +\frac{5}{4}y=t-u_{\frac{\pi }{2}}\left(t\right)\left(t-\frac{\pi }{2}\right)$ with initial condition $y\left(0\right)=0,y\prime \left(0\right)=0$.

(b)

To determine

To draw: The graphs of the solution and of the forcing function.