Consider the following initial value problem: Edit y4) – 16y = 8(t – 2); y(0) = 0, y'(0) = 0, y"(0) = 0, y"(0) = 0 %3D a) Find the solution y(t). NOTE: Denote the Heaviside function by Uc(t) where...

c and 0 otherwise. Indicate separately the value of c. 2t y(t) = 1 sin(2t – 4) ) u2(t) 32 16 where c = 2 b) Use a graphing utility to plot the solution y(t). 32 "/>
Extracted text: Consider the following initial value problem: Edit y4) – 16y = 8(t – 2); y(0) = 0, y'(0) = 0, 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. Indicate separately the value of c. 2t y(t) = 1 sin(2t – 4) ) u2(t) 32 16 where c = 2 b) Use a graphing utility to plot the solution y(t). 32