BDH3.mws
Section 3.1 -- Properties of Linear Systems and The Linearity Principle
Recreation of Figures 3.1 - 3.4 (pp. 226 - 227)
Figures 3.1 and 3.3
Figures 3.2 and 3.4
Section 3.2 -- Straight-Line Solutions
Example with A = MATRIX([[-2, 1], [1, -2]]);
Section 3.3 -- Phase Planes for Linear Systems with Real Eigenvalues
Saddle
Source
Sink
Harmonic Oscillator Example
Section 3.4 -- Complex Eigenvalues
Example with A = MATRIX([[-1, 2], [-1, -1]]);
Section 3.5 -- Special Cases: Repeated and Zero Eigenvalues
Example with A = MATRIX([[2, 1], [-1, 4]]);
Example with A = MATRIX([[2, 4], [3, 6]]);