• Context
• Background
• Suggested reading
• Constant coefficients - eigenvectors and eigenvalues
• Constant coefficients - matrix exponential
• Constant coefficients - current status
• Constant coefficient non-homogeneous
• Current state - nonhomogeneous, first order
• Higher and mixed order systems of ODEs
• Non-constant coefficients
• Summary so far
• Remaining broken linear solvers
• Non-constant coefficient non homogeneous
• Rearranging systems not in canonical form
• Connected components: partitioning the system
• Strongly connected components: solving sequentially
• Nonlinear solvers - eliminating the independent variable