Internal problem ID [3605]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 12
Problem number: 349.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class G`], _rational, _Riccati]
\[ \boxed {y^{\prime } x^{3}+x^{2} y \left (1-x^{2} y\right )=-20} \]
✓ Solution by Maple
Time used: 0.203 (sec). Leaf size: 26
dsolve(x^3*diff(y(x),x)+20+x^2*y(x)*(1-x^2*y(x)) = 0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {5 x^{9}+4 c_{1}}{x^{2} \left (-x^{9}+c_{1} \right )} \]
✓ Solution by Mathematica
Time used: 0.172 (sec). Leaf size: 36
DSolve[x^3 y'[x]+20+x^2 y[x](1-x^2 y[x])==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {-5 x^9+4 c_1}{x^2 \left (x^9+c_1\right )} y(x)\to \frac {4}{x^2} \end{align*}