60.1.572 problem 575

Internal problem ID [10586]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 575
Date solved : Monday, January 27, 2025 at 09:16:51 PM
CAS classification : [NONE]

\begin{align*} y^{\prime } f \left (x y y^{\prime }-y^{2}\right )-x^{2} y^{\prime }+y x&=0 \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[x*y[x] - x^2*D[y[x],x] + f[-y[x]^2 + x*y[x]*D[y[x],x]]*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved