Answer:
How did life during the Industrial Revolution differ in the North and the South?
In what ways did the Industrial Revolution make life better?
How did it make life more difficult? How did life during the Industrial Revolution differ in the North and the South?
In what ways did the Industrial Revolution make life better?
How did it make life more difficult?
Step-by-step explanation:
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


The answer to 1/2y+3/2=3y+4 is y= -1
Answer:
No, they aren't similar.
Step-by-step explanation:
<u><em>Let's take the proportionality of their sides to check whether they are similar or not:</em></u>

=> 2 ≠ 3
So, they are not similar.