29.19.11 problem 524

Internal problem ID [5120]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 19
Problem number : 524
Date solved : Monday, January 27, 2025 at 10:12:18 AM
CAS classification : [_rational, [_Abel, `2nd type`, `class B`]]

\begin{align*} x \left (a +y\right ) y^{\prime }+b x +c y&=0 \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[x(a+y[x])D[y[x],x]+b x+c y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved