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:
the last one
Step-by-step explanation:
Answer:
3 cuts
Step-by-step explanation:
if you take 3 3/4 -3/4 =3 2 cuts would give 3 yard size strips but you need to cut the 3/4 off so there would be 3 cuts for four pieces of rope
Answer:
60
Step-by-step explanation:
If each side length must be identical, the same must be true for angles. If all the angles added are 180, divide 180 by 3 to get 60.
Answer:
both are reciprocals
Step-by-step explanation:
15.

so they are reciprocals
17.

so they are reciprocals