2.1147   ODE No. 1147

\[ x^2 y''(x)-12 y(x)=0 \]

✓ Mathematica : cpu = 0.0035809 (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 = 0.012 (sec), leaf count = 15

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

\[y \left (x \right ) = \frac {c_{2} x^{7}+c_{1}}{x^{3}}\]