Internal problem ID [7691]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 110.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_Riccati]
Solve \begin {gather*} \boxed {x y^{\prime }+f \relax (x ) \left (y^{2}-x^{2}\right )=0} \end {gather*}
✗ Solution by Maple
dsolve(x*diff(y(x),x) + f(x)*(y(x)^2-x^2)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x*y'[x] + f[x]*(y[x]^2-x^2)==0,y[x],x,IncludeSingularSolutions -> True]
Not solved