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.