2.1289   ODE No. 1289

\[ 16 x^2 y''(x)+32 x y'(x)+(-4 x-5) y(x)=0 \] Mathematica : cpu = 0.104253 (sec), leaf count = 53


\[\left \{\left \{y(x)\to \frac {c_2 e^{-\sqrt {x}} \left (\sqrt {x}+1\right )}{x^{5/4}}-\frac {c_1 e^{\sqrt {x}} \left (\sqrt {x}-1\right )}{x^{5/4}}\right \}\right \}\] Maple : cpu = 0.089 (sec), leaf count = 33


\[y \relax (x ) = \frac {c_{2} \left (\sqrt {x}+1\right ) {\mathrm e}^{-\sqrt {x}}+c_{1} {\mathrm e}^{\sqrt {x}} \left (\sqrt {x}-1\right )}{x^{\frac {5}{4}}}\]