Perform numerical simulation using ODE solver to determine the solution x(t) of the following differential equation: x⃛ + 3ẍ + 3ẋ + 2x = u(t) where u(t) is a unit step! Assume zero initial condition for this case! Determine the analytical solution x(t) of the aforementioned differential equation! Show that your analytical solution is matched to the simulation result! Hint: One of the poles of this ODE is s = -2.
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