\[ y(x) y'(x)^2+2 x y'(x)-9 y(x)=0 \] ✓ Mathematica : cpu = 0.0514538 (sec), leaf count = 107
\[\left \{\text {Solve}\left [\int \frac {y(x)}{x \left (\frac {y(x)^2}{x^2}-\sqrt {\frac {9 y(x)^2}{x^2}+1}+1\right )}d\frac {y(x)}{x}=-\log (x)+c_1,y(x)\right ],\text {Solve}\left [\int \frac {y(x)}{x \left (\frac {y(x)^2}{x^2}+\sqrt {\frac {9 y(x)^2}{x^2}+1}+1\right )}d\frac {y(x)}{x}=-\log (x)+c_1,y(x)\right ]\right \}\] ✓ Maple : cpu = 0.084 (sec), leaf count = 210
\[\frac {c_{1} x \left (x +\sqrt {x^{2}+9 y \relax (x )^{2}}\right ) \left (\frac {-x -\sqrt {x^{2}+9 y \relax (x )^{2}}}{y \relax (x )}\right )^{\frac {2}{7}}}{\left (x \sqrt {x^{2}+9 y \relax (x )^{2}}+x^{2}+y \relax (x )^{2}\right ) \left (\frac {x \sqrt {x^{2}+9 y \relax (x )^{2}}+x^{2}+y \relax (x )^{2}}{y \relax (x )^{2}}\right )^{\frac {1}{7}}}+x = 0\]