60.1.218 problem 219

Internal problem ID [10232]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 219
Date solved : Monday, January 27, 2025 at 06:40:32 PM
CAS classification : [[_Abel, `2nd type`, `class A`]]

\begin{align*} \left (y+g \left (x \right )\right ) y^{\prime }-f_{2} \left (x \right ) y^{2}-f_{1} \left (x \right ) y-f_{0} \left (x \right )&=0 \end{align*}

✗ Solution by Maple

dsolve((y(x)+g(x))*diff(y(x),x)-f__2(x)*y(x)^2-f__1(x)*y(x)-f__0(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[(y[x]+g[x])*D[y[x],x]-f2[x]*y[x]^2-f1[x]*y[x]-f0[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Timed out