A model for a certain population P(t) has been given by the innitial value problem following de P (10²-108 P), P(0) = 20000 dt Assume that t is measured in months. a) what is the jug this populatiou? value of

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A model for a
been given by the
problem
certain popu
population P(t) has
innitial value
P
following
dp
dt
Assume that t is measured in
2
(10¯²-10¯³ P), P(0) = 20000
months.
a) what is the limiting
population?
this
value
in part
b) At
what time (after how many
months) will the population be
equal
limiting value
to
Que
quarier, of the
Q?
of
* Do not round any numbers in
should
your work.
be
decimals.
answers
symbolic and have no
Transcribed Image Text:A model for a been given by the problem certain popu population P(t) has innitial value P following dp dt Assume that t is measured in 2 (10¯²-10¯³ P), P(0) = 20000 months. a) what is the limiting population? this value in part b) At what time (after how many months) will the population be equal limiting value to Que quarier, of the Q? of * Do not round any numbers in should your work. be decimals. answers symbolic and have no
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