1. Determine if the harmonic oscillator model is damped or undamped.

2.Use Maple to solve the IVP and then plot

a.the solution y(t).

b. its first derivative y'(t)

showing any discontinuities that exist. Be sure the plotting window is large enough to see the important features and help determine the end behavior.

3.Is the solutionâ€™s derivative,y'(t), continuous? If not then state any points of discontinuity.

4.Describe the end behavior by determining lim t->∞ y(t)or explaining why the limit does not exist. IVP's:

2y"+y'+2y=u_5(t)-u_20(t),

y(0)=0

y'(0)=0

2y"+y'+2y=3+δ_5(t)

y(0)=0

y'(0)=0