2.921   ODE No. 921

\[ y'(x)=y(x) \left (\text {$\_$F1}(x)+\frac {\log (y(x))}{x}-\frac {\log (y(x))}{x \log (x)}\right ) \] Mathematica : cpu = 0.245942 (sec), leaf count = 92


\[\text {Solve}\left [\int _1^x\left (\frac {\log (y(x))-\log (K[1]) \log (y(x))}{K[1]^2}-\frac {\log (K[1]) \text {$\_$F1}(K[1])}{K[1]}\right )dK[1]+\int _1^{y(x)}\left (\frac {\log (x)}{x K[2]}-\int _1^x\frac {\frac {1}{K[2]}-\frac {\log (K[1])}{K[2]}}{K[1]^2}dK[1]\right )dK[2]=c_1,y(x)\right ]\] Maple : cpu = 0.208 (sec), leaf count = 30


\[y \relax (x ) = {\mathrm e}^{\frac {x c_{1}}{\ln \relax (x )}} {\mathrm e}^{\frac {x \left (\int \frac {\textit {\_F1} \relax (x ) \ln \relax (x )}{x}d x \right )}{\ln \relax (x )}}\]