dP Suppose that the population P(t) of a country satisfies the differential equation =kP(1200-P) with k constant. Its dt population in 1960 was 300 million and was then growing at the rate of 1 million per year. Predict this country's population for the year 2030. *** This country's population in 2030 will be million. (Type an integer or decimal rounded to one decimal place as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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dP
dt
Suppose that the population P(t) of a country satisfies the differential equation =kP(1200-P) with k constant. Its
population in 1960 was 300 million and was then growing at the rate of 1 million per year. Predict this country's
population for the year 2030.
This country's population in 2030 will be million.
(Type an integer or decimal rounded to one decimal place as needed.)
y instructor
F5 F6
***
F9
F10 F11
ENTER
(
F12
Clear all
PRISC
INS
DEL
HOME
END
Check answer
PAUSE
PG UP
PG DN
NUM
7
HOME
I
8
5
9
PG UP
Transcribed Image Text:- dP dt Suppose that the population P(t) of a country satisfies the differential equation =kP(1200-P) with k constant. Its population in 1960 was 300 million and was then growing at the rate of 1 million per year. Predict this country's population for the year 2030. This country's population in 2030 will be million. (Type an integer or decimal rounded to one decimal place as needed.) y instructor F5 F6 *** F9 F10 F11 ENTER ( F12 Clear all PRISC INS DEL HOME END Check answer PAUSE PG UP PG DN NUM 7 HOME I 8 5 9 PG UP
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