Start with the logistic equation dx dt = kx(m x). suppose we modify our harvesting. that is we will only harvest an amount proportional to current population. in other words, we harvest hx per unit of time for some h > 0 (similar to earlier example with h replaced with hx). a) construct the di erential equation. b) show that if km > h, then the equation is still logistic. c) what happens when km < h?