Consider the following initial value problem: Edit Ma y" + 4y' + 20y = 8(t – 1); y(0) = 1, y'(0) = 0 %3D %3D Q Mo a) Find the solution y(t). NOTE: Denote the Heaviside function by Uc(t) where uc(t) =...

c and 0 otherwise. Indicate separately the value of c. Q Ma 1 Q y(t) : u(t) e 2(t-n) sin(4 t – 7) + e 4 cos(4 t) 4 -2t Ma Vi Ma Qu Ma where c = Qu b) Use a graphing utility to plot the solution y(t). Ma Qu "/>
Extracted text: Consider the following initial value problem: Edit Ma y" + 4y' + 20y = 8(t – 1); y(0) = 1, y'(0) = 0 %3D %3D Q Mo 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. Q Ma 1 Q y(t) : u(t) e 2(t-n) sin(4 t – 7) + e 4 cos(4 t) 4 -2t Ma Vi Ma Qu Ma where c = Qu b) Use a graphing utility to plot the solution y(t). Ma Qu