29. dP dt = 0.0002P(1200 - P) and P = 20 when t = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In Exercises 27-30, solve the initial value problem using partial frac-
tions. Use a graphing utility to generate a slope field for the differen-
tial equation and verify that the solution conforms to the slope field.
0.006P(200P) and P 8 when t = 0.
dP
27. =
dt
dP
28. =
dt
29.
dP
dt
=
dP
30. =
dt
0.0008P(700
P) and P = 10 when t = 0.
0.0002P(1200P) and P = 20 when t = 0.
10-5P(5000P) and P = 50 when t = 0.
Transcribed Image Text:In Exercises 27-30, solve the initial value problem using partial frac- tions. Use a graphing utility to generate a slope field for the differen- tial equation and verify that the solution conforms to the slope field. 0.006P(200P) and P 8 when t = 0. dP 27. = dt dP 28. = dt 29. dP dt = dP 30. = dt 0.0008P(700 P) and P = 10 when t = 0. 0.0002P(1200P) and P = 20 when t = 0. 10-5P(5000P) and P = 50 when t = 0.
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