Population curve and calculations

[shinobiazra]

Suppose rabbit populations grow exponentially with a growth rate of 20% per year. If P(t) is the population at any time t and 1000 is the initial (t=0) population of rabbits, what is the population of rabbits in 10 years?
Use the DE model: P ' = kP with k = .1 and P(0) = 1000.

Plz help me

 

[tiny-tim]

Welcome to PF!

Hi shinobiazra! Welcome to PF!

Use the DE model: P ' = kP with k = .1 and P(0) = 1000.

The equation is dP/dt = 0.1 P …

what is the general solution to this equation?