Internal problem ID [7814]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 234.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, 2nd type, class B]]
Solve \begin {gather*} \boxed {x y y^{\prime }-y^{2}+y x +x^{3}-2 x^{2}=0} \end {gather*}
✗ Solution by Maple
dsolve(x*y(x)*diff(y(x),x)-y(x)^2+x*y(x)+x^3-2*x^2=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x*y[x]*y'[x]-y[x]^2+x*y[x]+x^3-2*x^2==0,y[x],x,IncludeSingularSolutions -> True]
Not solved