60.1.232 problem 237

Internal problem ID [10246]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 237
Date solved : Sunday, March 30, 2025 at 03:34:09 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*}

✗ Maple

ode:=x*(y(x)+a)*diff(y(x),x)+b*y(x)+c*x = 0; 
dsolve(ode,y(x), singsol=all);
 

\[ \text {No solution found} \]

✗ Mathematica

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

Not solved

✗ Sympy

from sympy import * 
x = symbols("x") 
a = symbols("a") 
b = symbols("b") 
c = symbols("c") 
y = Function("y") 
ode = Eq(b*y(x) + c*x + x*(a + y(x))*Derivative(y(x), x),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

Timed Out