Internal problem ID [2846]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 4
Problem number: 96.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_Chini]
Solve \begin {gather*} \boxed {y^{\prime }-f \relax (x )-g \relax (x ) y-h \relax (x ) y^{n}=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x) = f(x)+g(x)*y(x)+h(x)*y(x)^n,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[x]==f[x]+g[x]y[x]+h[x]y[x]^n,y[x],x,IncludeSingularSolutions -> True]
Not solved