2.575   ODE No. 575

\[ y'(x) f\left (x y(x) y'(x)-y(x)^2\right )+x^2 \left (-y'(x)\right )+x y(x)=0 \]

✗ Mathematica : cpu = 0.0288085 (sec), leaf count = 0

DSolve[x*y[x] - x^2*Derivative[1][y][x] + f[-y[x]^2 + x*y[x]*Derivative[1][y][x]]*Derivative[1][y][x] == 0,y[x],x]
 

, could not solve

DSolve[x*y[x] - x^2*Derivative[1][y][x] + f[-y[x]^2 + x*y[x]*Derivative[1][y][x]]*Derivative[1][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0

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))
 

, could not solve

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))