You are right: the graph does not represent a proportion, because it does not go thru the origin.
Let
Differentiating twice gives
When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.
Substitute these into the given differential equation:
Then the coefficients in the power series solution are governed by the recurrence relation,
Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.
• If n is even, then n = 2k for some integer k ≥ 0. Then
It should be easy enough to see that
• If n is odd, then n = 2k + 1 for some k ≥ 0. Then
so that
So, the overall series solution is
Answer:
D
when you look at it it is upside down so d is the right answer
Answer:
A.9
F.27
Step-by-step explanation:
how i got 9 is by counting by 9 and i count 27,and 54
additional 27 times 2= 54