I'm in need of some help with matlab code. I'm working on a problem which gives the following system:
$$x'=x^2 - x - y$$
We are asked to solve the system numerically starting with $(x(0), y(0))=(-0.3,-0.3)$ for $t \in [0,10]$. Additionally, we are asked to plot the solution in a phase plane and also as a function of time.
My initial reaction is to try and use the ode45 function, then plot the $x$ and $y$ components as functions of time. The thing that I'm really having trouble with is plotting the phase plane...
Any help/links/advice is greatly appreciated!