Chapter 9.5, Problem 9P

(a)

To determine

To plot: The trajectory in the phase plane, and estimate the period of the oscillation.

(b)

To determine

To plot: The trajectory in the phase plane and estimate the period of the oscillation for $a=3\text{ and }a=\frac{1}{3}$ with $b=1$.

(c)

To determine

To plot: The trajectory in the phase plane and estimate the period of the oscillation for $b=3\text{ and }b=\frac{1}{3}$ with $a=1$.

(d)

To determine

To describe: The dependency of period and the shape of the trajectory on constant a and b.