Solving the ODE: x^3y'-2y+2x=0

[Malmstrom]

Homework Statement

Solve the following ODE:
x^3y'-2y+2x=0

Homework Equations

The solution should be a function continuous in R \ {0}.

The Attempt at a Solution

Pretty helpless about this one.

 

[gabriels-horn]

First, get the ODE into standard form by moving the x variables to the right-hand side of the equation. From there you should be able to classify the first-order ODE as one of the special cases and solve for it.