306ch3.mws
Chapter 3: 2D linear systems (including the harmonic oscillator)
Constant coefficient systems
Homogeneous systems
Constant coefficient homogeneous systems part 1:
componentwise derivation of the characteristic equation
Constant coefficient homogeneous systems part 2:
the eigenproblem
Eigenvalues and eigenvectors
Solution of a constant coefficient homogenous system with
coefficient matrix having real unequal eigenvalues
Computing eigenvalues and eigenvectors with Maple
Solutions of a linear constant coefficient homogenous system
with complex eigenvalues: the harmonic oscillator
Solutions of a linear constant coefficient homogenous system
with complex eigenvalues, in which the solutions decay exponentially