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## Homework Statement

[tex] x^2 y''+2xy'-12y=0,y_1=x^3 [/tex]

[tex] y''+(2y')/x-12y/x^2 =0 [/tex]

## Homework Equations

## The Attempt at a Solution

[tex] y=uy_1=ux y'=u' x+u y''=u'' x+2u' [/tex]

subbing that in instead of y,y',y''

[tex] u'' x+2u'+2(u'x+u)/x+12(ux)/x^2 =0 [/tex]

now my book says to reduce the order v=u' which is easy enough except for the fact that I have "u" in there with no derivative. What do I sub here (integral of v)????? STUMPED!

thanks for any help