60.1.55 problem 55

Internal problem ID [10069]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 55
Date solved : Monday, January 27, 2025 at 06:21:42 PM
CAS classification : [_Chini]

\begin{align*} y^{\prime }-f \left (x \right ) y^{n}-g \left (x \right ) y-h \left (x \right )&=0 \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],x] - f[x]*y[x]^n - g[x]*y[x] - h[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved