The initial population of a town is 4000 and it grows with a doubling time of 10 years what will the population be in 12 years
1 answer:
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Answer:
Step-by-step explanation:
Let's find a particular solution. We need a function of the form such that
and
then, 3a= 8, 2b+6a =0 and c+2b = 0. With the first equation we obtain
a = 8/3 and replacing in the second equation 2b+6(8/3) = 2b + 16 = 0. Then, b = -8. Finally, c = -2(-8) = 16.
So, our particular solution is .
Now, let's find the solution of the homogeneus equation
with the method of constants coefficients. Let
then
and
.
So, and the solution is
.
I redrew the triangle (just turned it around it make it easier to understand).
