Answer:
a) The implied differential equation is
b) The general equation is
c) The particular equation is
d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)
Step-by-step explanation:
The rate of change of N(t) can be written as dN/dt
According to the question,
Integrating both sides of the equation
When t = 0, N = 400
When t = 3, N = 650
The equation for the population becomes:
At t = 5, the population becomes:
N(5) = 700 ( to the nearest 50)