Two bacterial strains sometimes feed on chemicals excreted by one another strain A feeds on chermicals produced by strain B, and vice versa. This phenomenon is referred to as cross-feeding. Suppose that two strains of bacteria are engaged in cross-feeding (strain 1 and strain 2), For a relatively simple model of cross-feeding, it can be shown that the frequency p(r) of the strain 1 bacteria is govermed by the differential equation dp = p(1 - p)[a(1 p) p), where a and Bare positive constants. dt 1. Assume a =2 and = 3 and write down your updated differential equation. Visit this website e to create a slope field for this differential equation, where 0SIS8 and (0SpS1. You do not need to include the graph in the discussion. 2. Use the slope field created In 1 to answer the following %3D a. Identify all equilibrium values on the plot. b. Describe the solution curve with initial condition p(0) 0,8. c. Describe the solution curve with initial condition p(0)= 0.1. Be sure to justify your choice for each problem. For this discussion, post your own response (7 points). and respond (3 points) to at least one other person's post Do not wait until the due date to get the discussion going!