Internal problem ID [7817]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 237.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, 2nd type, class B]]
Solve \begin {gather*} \boxed {x \left (y+a \right ) y^{\prime }+b y+x c=0} \end {gather*}
✗ Solution by Maple
dsolve(x*(y(x)+a)*diff(y(x),x)+b*y(x)+c*x=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x*(y[x]+a)*y'[x]+b*y[x]+c*x==0,y[x],x,IncludeSingularSolutions -> True]
Not solved