WIP, will add interactive one later which allows changing the variables with sliders

Given the matrix form of an ODE:

$\dot{\vec x}\left( t \right) = {A}\vec x\left( t \right)$

the solution is:

$\vec x\left( t \right) = {p}{{\bf{e}}^{{\lambda _1}t}}{\vec \eta ^{\left( 1 \right)}} + {q}{{\bf{e}}^{{\lambda _2}t}}{\vec \eta ^{\left( 2 \right)}}$

https://en.wikipedia.org/wiki/Matrix_differential_equation

color indicates Δx(t), i.e. velocity