(Solved):   Question 8. The IVP Y" + 3y' + 2y = W(t); y(0) = 0, y'(0) = 0 represents a damped spring-m ...

 

Question 8. The IVP Y" + 3y' + 2y = W(t); y(0) = 0, y'(0) = 0 represents a damped spring-mass system subjected to a square wave forcing term given by W(t) = U(t) - U2(t). a. Graph W(t). b. Without using technology, solve the IVP when W(t) is not present in the system. (I.e., make the right-hand side of the equation zero). c. Without using technology, solve the given IVP (that is, with W(t) as the forcing term). on the same set of axes. What d. Use technology to graph the solutions to parts (6) and difference does the forcing term make?