1.55 problem 55

Internal problem ID [8392]

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]

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

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