Solve the model for a driven spring/mass system with damping m 12x + B - at 2 dt * + kx = f(t), x (0 ) = 0, x' ( 0 ) = 0 , where m = 1/2, $ = 1, k = 5, and the driving function f is the meander function given below with amplitude 20, and a = x. f(t) 20 a -20 x(t) = 4(1 - e-t cos(3t) - Le t sin(3t) ) + 8 O (-1) [ 1 - e-(t - 2nx) cos(3(t - 2nn)) - Le-(t - 2nx) sin(3(t - 2nx)) a(t - 2nx) n=1 x(t) = 4(1 - e-t sin(3t) - Let cos(3t) ) + 8 [ ( - 1) 7 1 - e -(t - no ) sin ( 3(t - na ) ) - Le -(t - nt ) cos ( 3(t - ni) a(t - not ) n=1 o x(t) = 4(1 - e-t cos(3t) - Left sin(3t) ) x(t) = 4(= - e-t sin(3t) - Le-t cos(3t) ) + 8 [ (-1)7 1 - e-(t - 2nx) sin(3(t - 2n*)) - Le-(t - 2nm) cos(3(t - 2nx)) a(t - 2nx) n=1 x(t) = 4(1 - e-t cos(3t) - Let sin(3t) ) + 8 [ (- 1) 7 1 - e-(t - not) cos ( 3(t - nx ) ) - Le -(t - not ) sin ( 3(t - no.) a(t - no.) n=1