When working with differential equations it is not uncommon to work with a system of equations instead of just one. When working with a system one can use a matrix to help simplify the problem.
The first step when working with a system of differential equations is to classify the equations involved, this will tell you what tools you can use.
One can use Euler's Method or Runge-Kutta Method to approximate a solution to a system of differential equations.
#incomplete #rewrite - reorganize below such that it makes it easy to approach a problem
If your system is linear then you have more options.
If your system is nonlinear then it is more difficult to evaluate.