(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

solve the given differential equation:

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

2. Relevant equations

No idea, I need something to get me started

3. 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.

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# Not so obvious 4th order DE

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