# Thread: power series

1. ## power series

The problem says:

Identifying the basic solutions as well as the general solution, find a power series solution in powers of x of the following differential equation:
y" - 4xy' + (4x^2 - 2)y = 0

2. Originally Posted by Hollysti
The problem says:

Identifying the basic solutions as well as the general solution, find a power series solution in powers of x of the following differential equation:
y" - 4xy' + (4x^2 - 2)y = 0

Here, someone please check my work. This took forever to type and I lost concentration several times along the way

3. Yes there is an error when you multiply everything out.

Note: It does not take me so long. In LaTeX you type instead of clicking on drop down menus and symbols.

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### y' 4xy = 0 by power series

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