Please on paper

Apr 21, 2023 . Consider the following ODE: y" - 8y' + 16y = 0. (2) (a) Write down and solve the characteristic equation of the ODE. Then find the gen- eral solution to the ODE. (b) Solve the boundary-value problem with Eq (2) and the boundary condition: "(0) = -3. y(1 ) = el (c) Solve the initial-value problem with Eq (2) and the initial condition: y(1) = el, y'(1) = 3el