"Two-eyed monster" phase portrait?

I'm supposed to use a computer to graph the phase portrait of the following system.

x'=y+y^2

y'=(-1/2)x+(1/5)y-xy+(6/5)y^2

The only problem is that I'm not good with math related computer programs. I don't know how to graph this phase portrait. I call it the "two eyed monster" because this system is apparently from a Borrelli and Coleman 1987 textbook p.385 and the phase portrait looks like a two eyed monster.

Can someone who is good with math computer programs graph this for me? Thanks a lot.