Differential Equations and Linear Algebra, 4th Edition

Section 9.4

1. 1. Eigenvalues: $-2,-3$; stable node

   

2. 2. Eigenvalues: 1, 3; unstable node

3. 3. Eigenvalues: $-3,$ 5; unstable saddle point

   

4. 4. Eigenvalues: $-1\pm 2i$; stable spiral point

   

5. 5. Critical points: $(0,n\pi )$ where n is an integer; an unstable saddle point if n is even, a stable spiral point if n is odd

   

6. 6. Critical points: $(n,0)$ where n is an integer; ...