3. x'=ax-mxy y'=by-nxy

Critical points: (0,0) & (b/n,a/m)

4. dy/dx = (dy/dt)/(dx/dt)

General solution: y^a(e^-my)=c*x^b(e^-nx)

Using the above solve for 5!!!!

5. For the competitive species model, graph the curves where dx/dt = 0 and dy/dt = 0. Draw arrows to show how the populations are growing or shrinking in the regions defined by those curves and use those arrows to sketch some solution curves in the xy-plane. Note that the graphical technique here is significantly easier than trying to plot points using the formula found in the previous problem. (Bennett 3.40)

Please show all work and answer ONLY 5. Thanks!