Internal problem ID [3268]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 19
Problem number: 524.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, 2nd type, class B]]
Solve \begin {gather*} \boxed {x \left (a +y\right ) y^{\prime }+b x +c y=0} \end {gather*}
✗ Solution by Maple
dsolve(x*(a+y(x))*diff(y(x),x)+b*x+c*y(x) = 0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x(a+y[x])y'[x]+b x+c y[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved