ODE No. 1556

\[ x^2 y^{(4)}(x)+8 x y^{(3)}(x)+12 y''(x)=0 \]

✓ Mathematica : cpu = 0.0129527 (sec), leaf count = 30

DSolve[12*Derivative[2][y][x] + 8*x*Derivative[3][y][x] + x^2*Derivative[4][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to \frac {1}{6} \left (\frac {c_1}{x^2}+\frac {3 c_2}{x}\right )+c_4 x+c_3\right \}\right \}\]

✓ Maple : cpu = 0.014 (sec), leaf count = 19

dsolve(x^2*diff(diff(diff(diff(y(x),x),x),x),x)+8*x*diff(diff(diff(y(x),x),x),x)+12*diff(diff(y(x),x),x)=0,y(x))

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