Internal problem ID [3843]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 21
Problem number: 593.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_Abel, `2nd type`, `class C`]]
\[ \boxed {\left (\operatorname {g0} \left (x \right )+y \operatorname {g1} \left (x \right )\right ) y^{\prime }-\operatorname {f1} \left (x \right ) y-\operatorname {f2} \left (x \right ) y^{2}-\operatorname {f3} \left (x \right ) y^{3}=\operatorname {f0} \left (x \right )} \]
✗ Solution by Maple
dsolve((g0(x)+y(x)*g1(x))*diff(y(x),x) = f0(x)+f1(x)*y(x)+f2(x)*y(x)^2+f3(x)*y(x)^3,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(g0[x]+y[x] g1[x])y'[x]==f0[x]+f1[x] y[x]+f2[x] y[x]^2+f3[x] y[x]^3,y[x],x,IncludeSingularSolutions -> True]
Timed out