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1.9.31 Formulate first order differential equations (A-level only)

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Question 1
58%

The annual rate of increase of a population is equal to 2% of the size of the population. y y\,y is the population in millions and t t\,t is the time in years.

a.

Write down a differential equation for this relationship

[2]
b.

Show that y=Ae0.02ty = Ae^{0.02t}y=Ae0.02t where A A\,A is a constant

[4]
c.

Given that the initial population is 2.5 million. Find the population after 10 years.

[2]

1.9.31 Formulate first order differential equations (A-level only) Questions

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