29.4.5 problem 92

Internal problem ID [4696]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 4
Problem number : 92
Date solved : Monday, January 27, 2025 at 09:32:03 AM
CAS classification : [_Abel]

\begin{align*} 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(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[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]
 

Not solved