\[ x^2 y''(x)-6 y(x)=0 \] ✓ Mathematica : cpu = 0.0037514 (sec), leaf count = 18
DSolve[-6*y[x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_2 x^3+\frac {c_1}{x^2}\right \}\right \}\] ✓ Maple : cpu = 0.007 (sec), leaf count = 15
dsolve(x^2*diff(diff(y(x),x),x)-6*y(x)=0,y(x))
\[y \left (x \right ) = \frac {x^{5} c_{1}+c_{2}}{x^{2}}\]