\[ x y(x) \left (a-2 x^2 y(x)^2+3 x y(x)\right )+b+2 x^3 y''(x)+x^2 (2 x y(x)+9) y'(x)=0 \] ✗ Mathematica : cpu = 45.0503 (sec), leaf count = 0
, could not solve
DSolve[b + x*y[x]*(a + 3*x*y[x] - 2*x^2*y[x]^2) + x^2*(9 + 2*x*y[x])*Derivative[1][y][x] + 2*x^3*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \left (\textit {\_a} \,{\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right )\boldsymbol {\mathrm {where}}\left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=\left (-\textit {\_a}^{3}+\frac {1}{2} \textit {\_a}^{2}+\frac {1}{2} a \textit {\_a} -\frac {5}{2} \textit {\_a} +\frac {1}{2} b \right ) \textit {\_}b\left (\textit {\_a} \right )^{3}+\left (-\textit {\_a} -\frac {3}{2}\right ) \textit {\_}b\left (\textit {\_a} \right )^{2}\right \}, \left \{\textit {\_a} =x y \relax (x ), \textit {\_}b\left (\textit {\_a} \right )=-\frac {1}{x \left (x \left (\frac {d}{d x}y \relax (x )\right )+y \relax (x )\right )}\right \}, \left \{x ={\mathrm e}^{\int -\textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} -c_{1}}, y \relax (x )=\textit {\_a} \,{\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right \}\right ]\]