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:
wrong answer.
Right answer: √30 ≈ 5.48
Step-by-step explanation:
The answer for √2 × √15 is not 30, that answer is wrong
√2 × √15 = √2*15 = √30 ≈ 5.48
Hope this help you :3
Answer:
Step-by-step explanation:
A number divisible by 9 is also divisible by 3 because 3 is a factor of 9.
Given:
Right Rectangular Prism.
It has its length, width, and height.
Surface area of a right rectangular prism has this formula:
SA = 2 (wl + hl + hw)
Volume of a right rectangular prism has this formula
V = whl
Formula of Surface Area is different from Volume.
Surface
area measures the area the whole rectangular prism surface. It computes
for the area of all 6 faces that a right rectangular prism has.
Volume measures the area within the rectangular prism. It is the space that is enclosed within the rectangular prism.