Leave a tip for good service: https://paypal.me/jjthetutor

(a) Find the eigenvalues;

(b) determine if the origin is a spiral sink, a spiral source, or a center;

(c) determine the natural period and natural frequency of the oscillations,

(d) determine the direction of the oscillations in the phase plane (do the solutions go clockwise or counterclockwise around the origin?)

Student Solution Manuals: https://amzn.to/2WZrFnD

More help via http://jjthetutor.com

Download my eBooks via http://payhip.com/jjthetutor,

paperback via http://amazon.com/author/jjthetutor.