Need answer for a,b,and c

(4) There's an unrealistic feature of the rabbit-wolf system in problem (3): if there's no wolves the rabbit population can increase exponentially to infinity. So let's modify it to: dr/dt = r(2 -r -w) dw /dt = w(r - 1). (a) There are still equil points at (0,0), (1,1), and now there's a new equilibrium at (2,0). I don't mind telling you that the equil (0,0) is still a saddle, but now the equil at (1,1) is an inward widdershins spiral, and (2,0) is another saddle. You don't have to analyze them, but I'd like you to visualize them on the Wolfram Alpha widget and sketch the phase plane portrait. (b) You can again divide dw/dt by dr/dt to get a diff eq for dw/dr, but it is no longer separable. Why not? (c) Think about the energy function that we derived in problem (3) for the previous rabbt-wolf system: L(r, w) = r - In(r) + w-In(w). Use the chain rule to find a formula for & L(r(t), w(t)), using the new equations for dr /dt and dw /dt. It turns out that dL /dt