Internal problem ID [8155]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 575.
ODE order: 1.
ODE degree: -1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {y^{\prime } f \left (x y y^{\prime }-y^{2}\right )-y^{\prime } x^{2}+y x=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x)*f(x*y(x)*diff(y(x),x)-y(x)^2)-x^2*diff(y(x),x)+x*y(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x*y[x] - x^2*y'[x] + f[-y[x]^2 + x*y[x]*y'[x]]*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved