template-SYS.mws
Getting started
Defining the model
Nullclines
x-nullclines
y-nullclines
Equilibrium Solutions
Direction Field, Phase Portrait, and Solution Curves (DEplot)
Direction Field
Phase Portrait
Solution Curves
Numerical Solutions (dsolve,numeric)
Euler2 (a custom-defined procedure for two-dimensional systems)
Analytic Solution for Linear Homogeneous Systems (Eigenvalue Analysis)
Linearly Independent Solutions
Case 1: Real and Distinct Eigenvalues
Case 2: Complex Eigenvalues
Case 3: Repeated Eigenvalue
Analytic Solutions (dsolve)