# Simulation of the phase plane

1. May 30, 2014

### Jhenrique

The solution's form for the ODE $$\frac{d\vec{r}(t)}{dt\;\;\;\;} = k\;\vec{r}(t)$$ can be generalized like in this diagram: https://upload.wikimedia.org/wikipedia/commons/3/35/Phase_plane_nodes.svg

Exist some program or some way of adjust some program of math for study the behavior of the solution through of the eigenvalues as parameter?

2. Jun 1, 2014

### athosanian

I think mathematica may be helpful, in my memory, it can draw such a picture.