Find the motion of the mass-spring system modeled by the ODE and initial conditions. y" +26y' +168y = 1632 sin(12t), y(0) = -1.2, y'(0) = -59.2 y(t) =

Solve by the method of: Inhomogeneous higher order linear y" - 6y' + 8y = sin(x)

Solve the following initial value problem using Laplace transform: d'y dy dt² 11- +30y= 2e-³t, y(0) = -1/4, dt Let Y(s) be the Laplace transform of the solution y(t). Then evaluate Y(-1/4). y(-1/4). Y(-1/4) y(-1/4)= dy dt -lt=0 = 5