. In the following market model, p is price, q is quantity demanded and qs is quantity supplied: q=3-2p, and 9³ = -1 + 4p. Suppose that the market does not clear instantaneously, but that price increases wher there is excess demand and decreases when there is excess supply: p = ½ (gº − q³), where p (b) Write out a first-order differential equation of p.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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2. In the following market model, p is price, qº is quantity demanded and qs is quantity
supplied:
9=3-2p.
and
9³ = -1 + 4p.
Suppose that the market does not clear instantaneously, but that price increases when
there is excess demand and decreases when there is excess supply:
p = ½ (9² - 9³),
where p
(b)
Write out a first-order differential equation of p.
Transcribed Image Text:2. In the following market model, p is price, qº is quantity demanded and qs is quantity supplied: 9=3-2p. and 9³ = -1 + 4p. Suppose that the market does not clear instantaneously, but that price increases when there is excess demand and decreases when there is excess supply: p = ½ (9² - 9³), where p (b) Write out a first-order differential equation of p.
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