template-eigen (recap)
This worksheet contains templates for the creation of direction fields and eigenvalue/eigenvector analysis for 2 x 2 (planar) systems of linear ODEs. There are separate sections for each of the three cases that can arise from the computation of the eigenvalues. For guidance on the usage of these templates, please consult the worksheet BDH3.mws.
>
> restart;
> with(DEtools):
> with(plots):
> with(linalg):
>
Specification of the planar system
Linearly Independent Solutions
Case 1: Real and Distinct Eigenvalues
C ase 2: Complex Eigenvalues
Case 3: Repeated Eigenvalue
Direction Fields and Solution Curves