Use reduction of order. Given a solution , look for a second solution of the form .
Compute the first two derivatives of :
Substitute them into the ODE:
Now substitute and you end up with a linear ODE:
Multiply through both sides by (if you're familiar with the integrating factor method, this is it):
Bear in mind that in order to do this, we require . Just to avoid having to deal with absolute values later, let's further assume .
Notice that the left side is the derivative of a product,
Integrate both sides with respect to :
Solve for :
Solve for by integrating both sides:
Integrate by parts:
Solve for :
But since is already accounted for, the second solution is just
Still, the general solution would be
Step-by-step explanation:
A1 = 9
r = 2/3
An = ar^{n - 1}
An = 9.(2/3)^{n - 1}
Option → C
Answer:
9
Step-by-step explanation:
5x8=40 which leaves 2 more students to ride so the only way is to bring 9 cars
Answer: 14
Step-by-step explanation:
when you multiply 9 by 14 you get the answer 126.
So it takes 14 nines to get 126.