29.21.17 problem 593

Internal problem ID [5187]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 21
Problem number : 593
Date solved : Monday, January 27, 2025 at 10:18:29 AM
CAS classification : [[_Abel, `2nd type`, `class C`]]

\begin{align*} \left (\operatorname {g0} \left (x \right )+y \operatorname {g1} \left (x \right )\right ) y^{\prime }&=\operatorname {f0} \left (x \right )+\operatorname {f1} \left (x \right ) y+\operatorname {f2} \left (x \right ) y^{2}+\operatorname {f3} \left (x \right ) y^{3} \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

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

Timed out