Use the Laplace transform, inverse Laplace transform, and the Cauchy Residue Theorem to find the solution z(t) for the following equation of motion: m(t) + bi (t) + kx(t) = 10, where m = 1, b =4, k =5, x(0) = 1, and (0) = 0. Problem 10. EOM Analysis above Using the solution for r(t) found in Problem find the time (max) at which the maxi- mum displacement Tmax occurs and find the value of Imax-