(b) Write out a first-order differential equation of p. Bartleby Expert Solution for (b): Answer: The first-order differential equation of p is: dp dt P=2-3p
(b) Write out a first-order differential equation of p. Bartleby Expert Solution for (b): Answer: The first-order differential equation of p is: dp dt P=2-3p
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please, See Attached Bartleby Expert Solution for (b) to Answer the Current Attached Question (c). Thank you!
![2. In the following market model, p is price, q is quantity demanded and qs is quantity
supplied:
q=3-2p,
and
q² = −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=(9²-9³),
where p
(c)
Solve (b) and find the time path of price. The initial price is given, p (0) = po.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6274a625-9a74-4008-b392-f1961eea52c4%2F551c5713-6052-42a9-81e0-27b772ac34d9%2Ftz3vic_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. In the following market model, p is price, q is quantity demanded and qs is quantity
supplied:
q=3-2p,
and
q² = −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=(9²-9³),
where p
(c)
Solve (b) and find the time path of price. The initial price is given, p (0) = po.
![Original Question for (b)
(b)
Write out a first-order differential equation of p.
Bartleby Expert Solution for (b):
Answer:
The first-order differential equation of p is:
dp
dt
=
2-3p](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6274a625-9a74-4008-b392-f1961eea52c4%2F551c5713-6052-42a9-81e0-27b772ac34d9%2F7iz1qh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Original Question for (b)
(b)
Write out a first-order differential equation of p.
Bartleby Expert Solution for (b):
Answer:
The first-order differential equation of p is:
dp
dt
=
2-3p
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