Lotka-Volterra equations In Example 1

(a) we showed that parametric curves describing the rabbit and wolf populations in the phase plane satisfy the differential equation dW dR

−

20.02W 1 0.00002RW 0.08R 2 0.001RW By solving this separable differential equation, show that R0.02W0.08 e0.00002Re0.001W − C where C is a constant.
It is impossible to solve this equation for W as an explicit function of R (or vice versa). If you have a computer algebra system that graphs implicitly defined curves, use this equation and your CAS to draw the solution curve that passes through the point s1000, 40d and compare with Figure 5.