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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
Transcribed Image Text: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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