2.817   ODE No. 817

\[ y'(x)=\frac {\csc (y(x)) \left (\frac {1}{2} x^3 \log (x) \cos (2 y(x))+\frac {1}{2} x^3 \log (x)-\cos (y(x))\right )}{x \log (x)} \] Mathematica : cpu = 0.594891 (sec), leaf count = 63


\[\left \{\left \{y(x)\to -\sec ^{-1}\left (\frac {-x^3+3 x^3 \log (x)-9 c_1}{9 \log (x)}\right )\right \},\left \{y(x)\to \sec ^{-1}\left (\frac {-x^3+3 x^3 \log (x)-9 c_1}{9 \log (x)}\right )\right \}\right \}\] Maple : cpu = 0.97 (sec), leaf count = 27


\[y \relax (x ) = \arccos \left (\frac {9 \ln \relax (x )}{3 x^{3} \ln \relax (x )-x^{3}+9 c_{1}}\right )\]