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:
no
Step-by-step explanation:
Bro I hate when people saying put smh files
Answer:
hello the correct answer is x=6
Step-by-step explanation:
Answer:
9/5
Step-by-step explanation:
3 x 3/5 = 9/5
9/5 can't be simplified