Internal problem ID [1972]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 9, page 38
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class D`], _rational, _Bernoulli]
\[ \boxed {y \left (-x^{2}+y\right )+x^{3} y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(y(x)*(y(x)-x^2)+x^3*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{2}}{c_{1} x -1} \]
✓ Solution by Mathematica
Time used: 0.141 (sec). Leaf size: 22
DSolve[y[x]*(y[x]-x^2)+x^3*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^2}{-1+c_1 x} \\ y(x)\to 0 \\ \end{align*}