dP = kP(L - P) to answer parts (a) through (c). Use the limited growth model %3D dt a) Let L = 2000, k = 0.0005, and Po = 150. Find the particular solution P. %3D 0. b) Find t when P = 870. c) Find the point of inflection.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please answer all parts.
dP
Use the limited growth model
= kP(L - P) to answer parts (a) through (c).
dt
a) Let L = 2000, k = 0.0005, and Po = 150. Find the particular solution P.
b) Find t when P = 870.
c) Find the point of inflection.
Transcribed Image Text:dP Use the limited growth model = kP(L - P) to answer parts (a) through (c). dt a) Let L = 2000, k = 0.0005, and Po = 150. Find the particular solution P. b) Find t when P = 870. c) Find the point of inflection.
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