y+y=2+8(t- 4), y(0)%3D0. a. Find the Laplace transform of the solution. Y(s) L {y(t)} = b. Obtain the solution y(t). y(t) - c. Express the solution as a piecewise-defined function and think about what...

Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function.

Extracted text: y+y=2+8(t- 4), y(0)%3D0. a. Find the Laplace transform of the solution. Y(s) L {y(t)} = b. Obtain the solution y(t). y(t) - c. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t = 4. if 0 < 4,="" y(t)="if" 4=""><>