Consider the following initial value problem: y" + 9y = 38(t – T); y(0) = 0, y'(0) = 0 %3D a) Find the solution y(t). NOTE: Denote the Heaviside function by uc(t) where uc(t) = 1 if t > c and 0...

c and 0 otherwise. %3D Indicate separately the value of c. y(t) where c= b) Use a graphing utility to plot the solution y(t). "/>
Extracted text: Consider the following initial value problem: y" + 9y = 38(t – T); y(0) = 0, y'(0) = 0 %3D a) Find the solution y(t). NOTE: Denote the Heaviside function by uc(t) where uc(t) = 1 if t > c and 0 otherwise. %3D Indicate separately the value of c. y(t) where c= b) Use a graphing utility to plot the solution y(t).