# Discuss the critical points in (10)?(13) of Sec. 4.3 by using Tables 4.1 and 4.2. Table 4.1 Eigenvalue Criteria for Critical Points (Derivation after Table 4.2) Name (a) Node (b) Saddle point (c) Center (d) Spiral point p = λ₁ + λ₂ q = λ₁λ₂ A = (λ₁ - ₂)² Comments on A₁, A₂ A≥0 P = 0 P# 0

Chapter 4, P R O B L E M S E T 4 . 4 #13

Discuss the critical points in (10)?(13) of Sec. 4.3 by using Tables 4.1 and 4.2.

**Related Book For**

P R O B L E M S E T 4 . 3:

- PROBLEMSET4.3-1
- PROBLEMSET4.3-2
- PROBLEMSET4.3-3
- PROBLEMSET4.3-4
- PROBLEMSET4.3-5
- PROBLEMSET4.3-6
- PROBLEMSET4.3-7
- PROBLEMSET4.3-8
- PROBLEMSET4.3-9
- PROBLEMSET4.3-10
- PROBLEMSET4.3-11
- PROBLEMSET4.3-12
- PROBLEMSET4.3-13
- PROBLEMSET4.3-14
- PROBLEMSET4.3-15
- PROBLEMSET4.3-16
- PROBLEMSET4.3-17
- PROBLEMSET4.3-18
- PROBLEMSET4.3-19
- PROBLEMSET4.3-20

P R O B L E M S E T 4 . 4:

P R O B L E M S E T 4 . 5:

PROBLEM SET 4.6: