1.575 problem 576

Internal problem ID [8156]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 576.
ODE order: 1.
ODE degree: -1.

CAS Maple gives this as type [NONE]

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

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: 0.0 (sec). Leaf size: 0

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

Not solved