1. Given the system described by the differential equation 8+88 +16x = 0, x(0) = 0, 8(0)=3, do the following: a. Compute X(s), then use this to compute x(t). b. Using (only) X(s) and the initial value theorem, compute i(0), and verify that it agrees with the specified initial value. c. Solve the equation using matlab’s dsolve and see that it agrees with your solution in (a) d. Simulate the system in Simulink, and plot on the same graph, the simulation result and the analytically computed solution (from part a or c). Include appropriate x and y-labels and a legend in your plot.