1.218 problem 219

Internal problem ID [7799]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 219.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [[_Abel, 2nd type, class A]]

Solve \begin {gather*} \boxed {\left (y+g \relax (x )\right ) y^{\prime }-f_{2} \relax (x ) y^{2}-f_{1} \relax (x ) y-f_{0} \relax (x )=0} \end {gather*}

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: 0.0 (sec). Leaf size: 0

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

Timed out