Power Series Method: Solve y'' + 2xy' + 2y = 0

[Fairy111]

Homework Statement

Use the power series method to find the general solution to:

y'' + 2xy' + 2y = 0

Homework Equations

The Attempt at a Solution

I let y(x)=a0 + a1x + a2x^2 +...+anx^n + ...

Then i found out what y'(x) and y''(x) was. I then equated the constant terms with the original eqn and tried to then do the same with the linear terms. I am not really sure what I am doing though and how to continue.

 

[gabbagabbahey]

Why don't you show what you've got.

It will probably be easiest if you use LaTeX to write the sums...For example, If you write:

[$tex] y(x)=\sum_{n=0}^{\infty} a_n x^n[$/tex]

And delete the $ signs , you get this:

$$y(x) =\sum_{n=0}^{\infty} a_n x^n$$