Suppose 135 small business firms are threatened by bankruptcy. If y is the number bankrupt by time t, then 135 - y is the number not yet bankrupt by time t. The rate of change of y is proportional to the product of y and 135 - y. Let 2010 correspond to t= 0. Assume 20 firms are bankrupt at t= 0. Complete parts a. and b. below. a. Write a differential equation using the given information. Use 0.003 for the constant of proportionality. dy The differential equation is dt

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