1. Consider dp/dt =0.001P(800-P) A. Find the general solution B. Solve the initial value problem when P(0)=400...

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1. Consider dp/dt =0.001P(800-P)

A. Find the general solution

B. Solve the initial value problem when P(0)=400

C. Solve the initial value problem when P(4)=0

2. Consider dp/dt= 0.001P(800-P)-k, P(0)=750. What value of k keeps P(t) constant?

3. Consider dx/dt= (x-1)(x-2)^2(x-3)^3

A. Find all the equilibrium solutions.

B. For each equilibrium solution, determine if it is stable, unstable, or semi-stable.

Related Book For answer-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Posted Date: May 09, 2022 02:55 AM

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1. Consider dp/dt =0.001P(800-P) A. Find the general solution B. Solve the initial value problem when P(0)=400...

Question:

Expert Answer:

1 A The general solution is P t 800 c exp 0 001 t B The initial value problem when P 0 400 is P ... View the full answer

Applied Linear Algebra

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