ODE No. 1495

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

✓ Mathematica : cpu = 0.0088944 (sec), leaf count = 24

DSolve[6*Derivative[1][y][x] + 6*x*Derivative[2][y][x] + x^2*Derivative[3][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to -\frac {c_1}{2 x^2}-\frac {c_2}{x}+c_3\right \}\right \}\]

✓ Maple : cpu = 0.011 (sec), leaf count = 16

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

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