"Suppose the population P(t), measured in millions of people, of a country satisfies the differential equation

dP/dt = kP(230-P)

with k constant. Its population in 1940 was 135 million and was then growing at the rate of 1 million per year. Predict this country's population for the year 1991."

Question

"Suppose the population P(t), measured in millions of people, of a country satisfies the differential equation

dP/dt = kP(230-P)

with k constant. Its population in 1940 was 135 million and was then growing at the rate of 1 million per year. Predict this country's population for the year 1991."

anonymous · Answer

I got up to solving P=(P-230)e^(230kt)e^C and now i am stuck

anonymous · Answer

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