2.1401   ODE No. 1401

\[ y''(x)=-\frac {\left (a+3 x^2\right ) y'(x)}{x^3}-\frac {b y(x)}{x^6} \] Mathematica : cpu = 0.0097342 (sec), leaf count = 93


\[\left \{\left \{y(x)\to c_1 e^{-\frac {\sqrt {b} \left (-\frac {\sqrt {a^2-4 b}}{\sqrt {b}}-\frac {a}{\sqrt {b}}\right )}{4 x^2}}+c_2 e^{-\frac {\sqrt {b} \left (\frac {\sqrt {a^2-4 b}}{\sqrt {b}}-\frac {a}{\sqrt {b}}\right )}{4 x^2}}\right \}\right \}\] Maple : cpu = 0.052 (sec), leaf count = 45


\[y \relax (x ) = c_{1} {\mathrm e}^{-\frac {-a +\sqrt {a^{2}-4 b}}{4 x^{2}}}+c_{2} {\mathrm e}^{\frac {a +\sqrt {a^{2}-4 b}}{4 x^{2}}}\]