60.1.87 problem 87

Internal problem ID [10101]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 87
Date solved : Monday, January 27, 2025 at 06:27:30 PM
CAS classification : [NONE]

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

✗ Solution by Maple

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

Not solved