What is the top one?
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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.
6.75$ you take the percent divided by 100
that gets its it in decimal form
multiply that number by the original price
that gets its it in decimal form
multiply that number by the original price