\[ x^2 y''(x)-12 y(x)=0 \] ✓ Mathematica : cpu = 0.0041034 (sec), leaf count = 18
DSolve[-12*y[x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_2 x^4+\frac {c_1}{x^3}\right \}\right \}\] ✓ Maple : cpu = 0.007 (sec), leaf count = 15
dsolve(x^2*diff(diff(y(x),x),x)-12*y(x)=0,y(x))
\[y \left (x \right ) = \frac {x^{7} c_{2}+c_{1}}{x^{3}}\]