2.1146   ODE No. 1146

\[ x^2 y''(x)-6 y(x)=0 \]

✓ Mathematica : cpu = 0.0035025 (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 = 0.008 (sec), leaf count = 15

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

\[y \left (x \right ) = \frac {c_{2} x^{5}+c_{1}}{x^{2}}\]