60.1.573 problem 576

Internal problem ID [10587]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 576
Date solved : Monday, January 27, 2025 at 09:16:52 PM
CAS classification : [NONE]

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

✗ Solution by Maple

dsolve(phi(f(x,y(x),diff(y(x),x)),g(x,y(x),diff(y(x),x)))=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[phi[f[x, y[x], D[y[x],x]], g[x, y[x], D[y[x],x]]]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved