4.8 problem 96

Internal problem ID [3355]

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]

\[ \boxed {y^{\prime }-g \left (x \right ) y-h \left (x \right ) y^{n}=f \left (x \right )} \]

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