Find at least the first four nonzero terms in a power series expansion about co = 0 for the general solution to the given differential equation y"+y=0. page 2

Step-by-step explanation:

Given is a differential equation

SInce it is a power series solution let us assume

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Find I and II derivative

Now substitute in the given DE

2a_2 +3(2)a_3x^2+...+a_n n(n-1)x^{n-2} +... a_0+a_1x+....+a_nx^n +....=0\\\\a_{n-2} +n(n-1) a_n =0\\a_n = \frac{-a_{n-2}}{n(n-1)

Thus the solution is a power series with recurring formula

a_n = \frac{-a_{n-2}}{n(n-1)

idk but i found this "the graph of y = f(x-2) is the graph of y = f(x) translated two units rightward.  

so, since the point (9,2) lies on the graph of y = f(x), the point (11,2) lies on the graph of y = f(x-2)."

step-by-step explanation:

link is

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step-by-step explanation: