(Solved): - For each of the following phase lines (a) Describe the long-term behaviour of solutions. (b) Wri ...

- For each of the following phase lines (a) Describe the long-term behaviour of solutions. (b) Write down a differential equation that has the same equilibrium solutions as shown on the phase line. (c) Does the differential equation you wrote down in (b) have the same phase line as the picture shown, i.e., are the arrows the same as in the picture? If not, modify your answer to (b) to get a differential equation that does have the same phase line as in the picture. (d) Check your answer to (c) using dfield.