1. 1. Modelling with ODEs
2. 1. 1.1. Explicit First Order ODEs
   2. 1. 1.1.1. Example: Population Dynamics
   3. 1.2. Higher Order ODEs
   4. 1. 1.2.1. Example: Spring-mass systems
   5. 1.3. Discrete Events
   6. 1. 1.3.1. Example: Compartmental models of Drug Delivery
      2. 1.3.2. Example: Bouncing Ball
   7. 1.4. DAEs via the Mass Matrix
   8. 1. 1.4.1. Example: Electrical Circuits
3. 2. DiffSol APIs for specifying problems
4. 1. 2.1. ODE equations
   2. 2.2. Mass matrix
   3. 2.3. Root finding
   4. 2.4. Forward Sensitivity
   5. 2.5. Custom Problem Structs
   6. 1. 2.5.1. Non-linear functions
      2. 2.5.2. Constant functions
      3. 2.5.3. Linear functions
      4. 2.5.4. Putting it all together
   7. 2.6. DiffSL
   8. 2.7. Sparse problems
5. 3. Choosing a solver
6. 4. Initialisation
7. 5. Solving the problem
8. 6. Benchmarks