Solve €x þ 10x_ þ 25x ¼ 25 uð Þt with initial conditions x(0) ¼ 0 and x_ð Þ¼ 0 0 for x(t) using Laplace transforms. Also, apply the initial and final value theorems to X(s) and show that the results...

Solve €x þ 10x_ þ 25x ¼ 25 uð Þt with initial conditions x(0) ¼ 0 and x_ð Þ¼ 0 0

for x(t) using Laplace transforms. Also, apply the initial and final value

theorems to X(s) and show that the results match your solution.