60.1.56 problem 56

Internal problem ID [10070]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 56
Date solved : Monday, January 27, 2025 at 06:21:45 PM
CAS classification : [NONE]

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

✗ Solution by Maple

dsolve(diff(y(x),x) - f(x)*y(x)^a - g(x)*y(x)^b=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]^a - g[x]*y[x]^b==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved