ODE
\[ x^3 y'(x)+x^2 y(x) \left (1-x^2 y(x)\right )+20=0 \] ODE Classification
[[_homogeneous, `class G`], _rational, _Riccati]
Book solution method
Riccati ODE, Generalized ODE
Mathematica ✓
cpu = 0.247342 (sec), leaf count = 27
\[\left \{\left \{y(x)\to \frac {-5 x^9+4 c_1}{x^2 \left (x^9+c_1\right )}\right \}\right \}\]
Maple ✓
cpu = 0.365 (sec), leaf count = 26
\[\left [y \left (x \right ) = \frac {5 x^{9}+4 \textit {\_C1}}{x^{2} \left (-x^{9}+\textit {\_C1} \right )}\right ]\] Mathematica raw input
DSolve[20 + x^2*y[x]*(1 - x^2*y[x]) + x^3*y'[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (-5*x^9 + 4*C[1])/(x^2*(x^9 + C[1]))}}
Maple raw input
dsolve(x^3*diff(y(x),x)+20+x^2*y(x)*(1-x^2*y(x)) = 0, y(x))
Maple raw output
[y(x) = (5*x^9+4*_C1)/x^2/(-x^9+_C1)]