The general form of a solution of the differential equation is already provided for us:

where
. We now want to find a solution
such that
and
. Therefore, all we need to do is find the constants
and
that satisfy the initial conditions. For the first condition, we have:
For the second condition, we need to find the derivative
first. In this case, we have:

Therefore:

This means that we must solve the following system of equations:

If we add the equations above, we get:

If we now substitute
into either of the equations in the system, we get:

This means that the solution obeying the initial conditions is:

Indeed, we can see that:


which do correspond to the desired initial conditions.
Answer:
-√2
Step-by-step explanation:
x² - 2x = 8 Apply the square root to both sides
√x² - 2x = √8 Divide both sides by -2
x = -√2
<u><em>Extra info:</em></u>
√8 = 2√2 = 2.828427125
-√2 = -1.414213562
As the area of the circle is proporcional of R^2...
(200/40)^2=5^2=25 times greater
Answer:
17
Step-by-step explanation: