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## Homework Statement

find the general solution to the second order ode:

x

^{4}y''+2x

^{3}y'+y=0

## Homework Equations

using Euler's method

## The Attempt at a Solution

assume that the solution is y=x

^{a}

then y'=ax

^{a-1}and y''-a(a-1)x

^{a-2}

substituting these into the ode:

a(a-1)x

^{a}+2ax

^{a}+x

^{a}x

^{-2}=0

which gives

a

^{2}+a+x

^{-2}=0

and this is where i got stuck.

thank you