Is it possible to use Euler's method to numerically approximate the solution of this system of ODEs:
dx/dt = -y + x(p - x^2 - y^2)
dy/dt = x + y(p - x^2 - y^2)
where p is a parameter/constant
The only tutorial examples i have seen on the internet involve one dependent and one independent variable. In this case it has 2 dependent variables and 1 independent variable (making it an ODE rather than a PDE).
If it is possible to solve it with the Euler method could someone please advise me about approaching the problem. If it isn't could someone suggest an alternative method.