2.1352   ODE No. 1352

\[ y''(x)=-\frac {2 (a+x) y'(x)}{x^2}-\frac {b y(x)}{x^4} \] Mathematica : cpu = 0.0098702 (sec), leaf count = 89


\[\left \{\left \{y(x)\to c_1 e^{-\frac {\sqrt {b} \left (-\frac {\sqrt {a^2-b}}{\sqrt {b}}-\frac {a}{\sqrt {b}}\right )}{x}}+c_2 e^{-\frac {\sqrt {b} \left (\frac {\sqrt {a^2-b}}{\sqrt {b}}-\frac {a}{\sqrt {b}}\right )}{x}}\right \}\right \}\] Maple : cpu = 0.042 (sec), leaf count = 43


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