Consider the damped oscillator satisfying the differential equation

\fwhere (3,7, fo, and w, are real constants. Assume that B=wh= 7 >0, (a) Write the (real) steady state solution. (b) Find the (real) general solution with initial conditions z(0) = =y, #(0) = 0. () Use a plotting program to plot the solution using the values =il fo=1, To = 1. You should be able to see an initial transient motion followed by an approach to the steady state solution