View Policies Current Attempt in Progress Consider the following initial value problem: y"+4y' + 20y = 8(t – 7); y(0) = 1, y'(0) = 0 a) Find the solution y(t). NOTE: Denote the Heaviside function by...

c and 0 otherwise. Indicate separately the value of c. y(t) = where c = b) Use a graphing utility to plot the solution y(t). "/>
Extracted text: View Policies Current Attempt in Progress Consider the following initial value problem: y"+4y' + 20y = 8(t – 7); y(0) = 1, y'(0) = 0 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. y(t) = where c = b) Use a graphing utility to plot the solution y(t).