Example Logistic differential equation dx =kx(M-x),k>O,M>0 dr It has two critical pointsx=0 and x=M.The solution Mxo x()= x和+(M-xo)e-M satisfying the initial condition x(0)=xo. 4日10y至，无2000Example Logistic differential equation dx dt = kx(M −x), k > 0, M > 0 It has two critical points x = 0 and x = M. The solution x(t) = Mx0 x0 + (M −x0)e−kMt satisfying the initial condition x(0) = x0. Remark The importance of stable critical point