Automatically handling systems of higher-order ODEs

[cd155]

Currently, Drasil can generate explicit equations from InstanceModel, when it uses a single ODE as the mathematical model, including both 1st-order and higher-order.

This ticket would like to expand Drasil's ability to generate explicit equations from InstanceModel for systems of higher-order ODEs.

There are examples we use in Drasil

1. NoPCM uses a first-order ode, we generate it
2. PDController uses a second-order ode, we generate it
3. Double Pendulum uses a system of ODEs, we manually write it down.

Useful resources

• Brooks's work 9.7 ODE Library - how Drasil interacts with external ODE libraries (sometimes, we call them ODE solvers)
• Dong's work - how do we generate a single higher-order ODE

[smiths]

Thank you @cd155. Well-worded issue!