A second-order dynamic system is modeled as

\[9 \ddot{x}+6 \dot{x}+\frac{10}{9} x=14 \delta(t), \quad x(0)=0, \quad \dot{x}(0)=-\frac{1}{4}\]

a. Find the response \(x(t)\) in closed form.

b. Plot the response \(x(t)\) by using the impulse and initial commands. Also, plot the impulse and initial responses in the same figure.