Answer:
The solution is
.
Step-by-step explanation:
A first order differential equation
is called a separable equation if the function
can be factored into the product of two functions of
and
:

where
and
are continuous functions.
We have the following differential equation

In the given case
and
.
We divide the equation by
and move
to the right side:

Next, integrate both sides:

Now, we solve for 

We use the initial condition
to find the value of C.

Therefore,

Yes they can all have the same
Answer:
-2x + 5
Step-by-step explanation:
will be the function to calculate population every half year.
Further explanation:
The given formula is:

In the given formula, x represents the amount of time in years. So, in order to convert the given function for yearly calculation of population, to find the population every half year the time will be converted into half. This means that instead of x, x/2 will be used.
So the new function will be:

Keywords: Population growth, Population growth function
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