Internal problem ID [7849]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 269.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_Abel, 2nd type, class C]]
Solve \begin {gather*} \boxed {\left (g_{1} \relax (x ) y+g_{0} \relax (x )\right ) y^{\prime }-f_{1} \relax (x ) y-f_{2} \relax (x ) y^{2}-f_{3} \relax (x ) y^{3}-f_{0} \relax (x )=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[(g1[x]*y[x]+g0[x])*y'[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