given the logistics equation y'=9(1-y)y
on the interval [0,5], w/ initial condition y(0)=1.25
1. what are the equilibrium Solutions? What is the long-termbehavior of the solution?
2. solve the ode exactly and plot the solution on [0,5].
given the ivp y'=-y^2 on the interval [0,2] withinitial condition y(0)=-1/2
1. solve the ode. what is the behavior of the true solution as xapproaches 2?
