Note that if

, then

, and so we can collapse the system of ODEs into a linear ODE:


which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

so that the characteristic solution is

Now let's suppose the particular solution is

. Then

and so

Thus the general solution for

is

and you can find the solution

by simply differentiating

.
so their are 6 adults and 24 kids because when you add 18+6 and get 24
then you multiply 6(24) because adult tickets are 24 and get 144
then you multiply 24(12) because student tickets are half as much as parents so they are 12 and you multiply by 24 kids and get 288
then you add 288 student tickets total price +144 adult ticket total price =432 total cost fro all tickets
Answer:
There is only one perfect number between 20 to 30 which is 28.
<h3>Explanation:</h3>
The number 28 is a perfect number because its factors are 1, 2, 4, 7, 14 and 28.
Answer:
B
Step-by-step explanation:
Use a calculator and do it step by step.