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## Homework Statement

solve the given differential equation:

xy^(4) + 6y'" = 0

## Homework Equations

No idea, I need something to get me started

## The Attempt at a Solution

auxiliary equation:

m^4 + 6m^3 = 0

m^3(m+6)=0

3 roots with m = 0 and the other root is m = -6

so I got y = C1 + C2lnx + C3(lnx)^2 + C4x^-6

but, it is not the solution. Your help is greatly appreciated. Thank You.