\[ y''(x)=-\frac {\left (1-2 x^2\right ) y(x)}{4 x^6}-\frac {\left (2 x^2+1\right ) y'(x)}{x^3} \] ✓ Mathematica : cpu = 0.0163308 (sec), leaf count = 33
DSolve[Derivative[2][y][x] == -1/4*((1 - 2*x^2)*y[x])/x^6 - ((1 + 2*x^2)*Derivative[1][y][x])/x^3,y[x],x]
\[\left \{\left \{y(x)\to \frac {c_1 e^{\frac {1}{4 x^2}}}{x}+c_2 e^{\frac {1}{4 x^2}}\right \}\right \}\] ✓ Maple : cpu = 0.037 (sec), leaf count = 19
dsolve(diff(diff(y(x),x),x) = -(2*x^2+1)/x^3*diff(y(x),x)-1/4*(-2*x^2+1)/x^6*y(x),y(x))
\[y \left (x \right ) = \frac {{\mathrm e}^{\frac {1}{4 x^{2}}} \left (c_{1} x +c_{2}\right )}{x}\]