Question below. Do the best you can.

(2) Consider the autonomous differential equation y'=y24y+3. Note that we can write: y2 4y + 3 = (y 1)(y 3). (a) What are the equilibrium solutions? (b) Sketching the possible behavior of solutions for this differential equations as we did in class. (c) Suppose y is a particular solution satisfying y(0) = 2. Use Euler's method with two increments to estimate the value y(0.2). Is your estimate compatible with your answer in (b)? (d) Once again, suppose y(0) = 2. Use Euler's method with two increments to estimate the value y(O.1)' (e) Note that you also estimated y(0.1) at some point in your solution to item (c). Which approximation for y(0'1) do you expect to be better: the one in (c) or the one in (d)? Explain