(5pts) (Written or Typed) Compute the complete solution to the ordinary differential equation with input c(t) = u(t-1) assuming the circuit elements are R = 0.522, L = 0.1H, C = 0.01F and initial conditions y(0) = 0 and " t=0 = 0. Use MATLAB to plot your solution for time interval t (0,3] seconds. Note that you can compute the solution for r(t) = u(t) and then delay your solution by 1 second to get the solution for x(t) = u(t - 1). (5pts) (Written or Typed) Compute the complete solution to the ordinary differential equation with input (t) = -(t-3) assuming the circuit elements are R = 0.522, L = 0.1H, C = 0.01 F and initial conditions (0) = 0 and ace=0 = 0. Use MATLAB to plot your solution for time interval t (0,3|| seconds. Note that you can compute the solution for r(t) = u(t) and then neg ate your solution and delay it by 3 seconds to get the solution for r(t) = -(t-3). (5pts) (Written or Typed) Compute the complete solution to the RLC ordinary differential equation assuming the circuit elements are R = 0.522, L = 0.1H, C = 0.01F and initial conditions y(0) = 0 and t=0 = 0 and the input is c(t) = u(t - 1) - u(t - 3). This is equivalent to modeling a switch turning this system on at time t= 1 sec. and then off at time t = 3 sec