2.1358   ODE No. 1358

\[ y''(x)=\frac {\left (x^2-2\right ) y'(x)}{x \left (x^2-1\right )}-\frac {\left (x^2-2\right ) y(x)}{x^2 \left (x^2-1\right )} \] Mathematica : cpu = 0.0420857 (sec), leaf count = 89


\[\left \{\left \{y(x)\to \frac {c_1 x \sqrt [4]{x^2-1}}{\sqrt [4]{1-x^2}}-\frac {c_2 x \sqrt [4]{x^2-1} \left (\log \left (1-\frac {x}{\sqrt {x^2-1}}\right )-\log \left (\frac {x}{\sqrt {x^2-1}}+1\right )\right )}{2 \sqrt [4]{1-x^2}}\right \}\right \}\] Maple : cpu = 0.043 (sec), leaf count = 20


\[y \relax (x ) = x \left (\ln \left (x +\sqrt {x^{2}-1}\right ) c_{2}+c_{1}\right )\]