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.
Write down a differential equation for this relationship
Show that y=Ae0.02ty = Ae^{0.02t}y=Ae0.02t where A A\,A is a constant
Given that the initial population is 2.5 million. Find the population after 10 years.
Practise Edexcel A Level Maths 11.11 Modelling with Differential Equations with exam-style questions for A Level Maths. 51 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
