Consider the following initial value problem: y(@) – 16y = 8(t – 2); y(0) = 0, y'(0) = 0, y"(0) = 0, y"(0) = 0 %3D %3D %3D a) Find the solution y(t). NOTE: Denote the Heaviside function by uc(t) where...

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(@) – 16y = 8(t – 2); y(0) = 0, y'(0) = 0, y"(0) = 0, y"(0) = 0 %3D %3D %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).