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:
Step-by-step explanation:
absolute value is always positive
or
|x-3|≥0
f(x)≥-7
f(x) is open above.
it starts from above x-axis on the left and ends above x -axis.
Answer:
Angle 8 = 84 degrees
Angle 5 = 96 degrees
Step-by-step explanation:
Angle 8 = 84 degrees because Angle 2 and Angle 8 are inside opposite which makes them equivalent.
Angle 5 = 96 degrees because 180-84=96