# 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.

## Question:

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.

## Step by Step Answer:

**Related Book For**

## Modeling And Analysis Of Dynamic Systems

**ISBN:** 9781138726420

3rd Edition

**Authors:** Ramin S. Esfandiari, Bei Lu