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,

Answer:

Step-by-step explanation:
The formula is given as:

We need to solve this formula for v, that means that v to one side and let it be solved in terms of the other variables (E and m). First, we isolate v:

To isolate v, and eliminate the "square", we need to take square roots of both sides, that will give us v in terms of the other variables:

Putting v to left side (convention), we finally have:

Answer:
=18
Step-by-step explanation:
The GCF of 18 and 30 is 6