2.326   ODE No. 326

\[ y(x) y'(x) \left ((a y(x)+b x)^3+b x^3\right )+x \left ((a y(x)+b x)^3+a y(x)^3\right )=0 \] Mathematica : cpu = 2.94291 (sec), leaf count = 13289


\[ \text {Too large to display} \] Maple : cpu = 0.514 (sec), leaf count = 160


\[y \relax (x ) = \frac {x \left (c_{1} x -b \RootOf \left (b^{2} \textit {\_Z}^{4}-2 b x c_{1} \textit {\_Z}^{3}+\left (a^{2} x^{2} c_{1}^{2}+b^{2} x^{2} c_{1}^{2}+x^{2} c_{1}^{2}-a^{2}\right ) \textit {\_Z}^{2}-2 b \,x^{3} c_{1}^{3} \textit {\_Z} +x^{4} c_{1}^{4}\right )\right )}{a \RootOf \left (b^{2} \textit {\_Z}^{4}-2 b x c_{1} \textit {\_Z}^{3}+\left (a^{2} x^{2} c_{1}^{2}+b^{2} x^{2} c_{1}^{2}+x^{2} c_{1}^{2}-a^{2}\right ) \textit {\_Z}^{2}-2 b \,x^{3} c_{1}^{3} \textit {\_Z} +x^{4} c_{1}^{4}\right )}\]