60.1.268 problem 269

Internal problem ID [10282]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 269
Date solved : Monday, January 27, 2025 at 06:48:25 PM
CAS classification : [[_Abel, `2nd type`, `class C`]]

\begin{align*} \left (g_{1} \left (x \right ) y+g_{0} \left (x \right )\right ) y^{\prime }-f_{1} \left (x \right ) y-f_{2} \left (x \right ) y^{2}-f_{3} \left (x \right ) y^{3}-f_{0} \left (x \right )&=0 \end{align*}

✗ Solution by Maple

dsolve((g__1(x)*y(x)+g__0(x))*diff(y(x),x)-f__1(x)*y(x)-f__2(x)*y(x)^2-f__3(x)*y(x)^3-f__0(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[(g1[x]*y[x]+g0[x])*D[y[x],x]-f1[x]*y[x]-f2[x]*y[x]^2-f3[x]*y[x]^3-f0[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Timed out