ODE No. 1554

\[ x^2 y^{(4)}(x)+6 x y^{(3)}(x)+6 y''(x)=0 \] Mathematica : cpu = 0.0083563 (sec), leaf count = 29

DSolve[6*Derivative[2][y][x] + 6*x*Derivative[3][y][x] + x^2*Derivative[4][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to c_4 x+\frac {1}{2} \left (\frac {c_1}{x}-2 c_2 \log (x)\right )+c_3\right \}\right \}\] Maple : cpu = 0.013 (sec), leaf count = 18

dsolve(x^2*diff(diff(diff(diff(y(x),x),x),x),x)+6*x*diff(diff(diff(y(x),x),x),x)+6*diff(diff(y(x),x),x)=0,y(x))
 

\[y \left (x \right ) = c_{1}+c_{2} \ln \left (x \right )+\frac {c_{3}}{x}+x c_{4}\]