>

BDH3.mws

This worksheet contains the direction fields and analysis for the in-class examples presented during the discussion of the material in Chapter 3 of the text.

>

> restart;

> with(DEtools):

> with(plots):

> with(linalg):

Warning, new definition for adjoint

Warning, new definition for norm

Warning, new definition for trace

>

Section 3.1 -- Properties of Linear Systems and The Linearity Principle

Section 3.2 -- Straight-Line Solutions

Section 3.3 -- Phase Planes for Linear Systems with Real Eigenvalues

Section 3.4 -- Complex Eigenvalues

Section 3.5 -- Special Cases: Repeated and Zero Eigenvalues