6.14. Use Laplace transforms to compute the solution to the following differential equations: dy (a) + 2y = u(t), y(0) =
Posted: Thu Jun 02, 2022 9:40 am
6.14. Use Laplace transforms to compute the solution to the following differential equations: dy (a) + 2y = u(t), y(0) = 0 dt dy (b) 2y = u(t), y(0) = 1 dt dy (c) + 10y = 4 sin(2t)u(t), y(0) = 1 dt dy - 8e (d) + 10y dt -10tu(t), y(0) = 0 d²y dy (e) +6 + 8y = u(t), y(0) = 0, j(0) = 1 dt2 dt d²y dy (f) +6 +9y = sin(2t)u(t), y(0) = 0, y(0) = 0 dt dy +6 + 13y = u(t), y(0) = 1, y(0) = 1 dt dt2