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


271>249 the greater number is 271 which is two hundred seventy-one
<h2>
Answer: </h2>
formula = Multiply mass with 1000.
weight of a pack of oranges = 7.4 kg
weight of the pack of oranges in grams = 7.4 x 1000 = 7,400g
<h2><u>
Weight of the pack of oranges in grams is 7,400g</u></h2>