60.1.249 problem 250

Internal problem ID [10263]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 250
Date solved : Monday, January 27, 2025 at 06:42:25 PM
CAS classification : [[_Abel, `2nd type`, `class B`]]

\begin{align*} \left (B x y+A \,x^{2}+a x +b y+c \right ) y^{\prime }-B g \left (x \right )^{2}+A x y+\alpha x +\beta y+\gamma &=0 \end{align*}

✗ Solution by Maple

dsolve((B*x*y(x)+A*x^2+a*x+b*y(x)+c)*diff(y(x),x)-B*g(x)^2+A*x*y(x)+alpha*x+beta*y(x)+gamma=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[(B*x*y[x]+A*x^2+a*x+b*y[x]+c)*D[y[x],x]-B*g[x]^2+A*x*y[x]+\[Alpha]*x+\[Beta]*y[x]+\[Gamma]==0,y[x],x,IncludeSingularSolutions -> True]
 

Timed out