ODE No. 1560

\[ x^3 y^{(4)}(x)+6 x^2 y^{(3)}(x)+6 x y''(x)=0 \]

✓ Mathematica : cpu = 0.009907 (sec), leaf count = 29

DSolve[6*x*Derivative[2][y][x] + 6*x^2*Derivative[3][y][x] + x^3*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 = 0.012 (sec), leaf count = 18

dsolve(x^3*diff(diff(diff(diff(y(x),x),x),x),x)+6*x^2*diff(diff(diff(y(x),x),x),x)+6*x*diff(diff(y(x),x),x)=0,y(x))

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