Internal problem ID [7636]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 55.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_Chini]
Solve \begin {gather*} \boxed {y^{\prime }-f \relax (x ) y^{n}-g \relax (x ) y-h \relax (x )=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x) - f(x)*y(x)^n - g(x)*y(x) - h(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[x] - f[x]*y[x]^n - g[x]*y[x] - h[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved