60.1.236 problem 237

Internal problem ID [10250]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 237
Date solved : Monday, January 27, 2025 at 06:41:42 PM
CAS classification : [_rational, [_Abel, `2nd type`, `class B`]]

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

✗ 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: 0.000 (sec). Leaf size: 0

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

Not solved