2.506   ODE No. 506

\[ 2 x^2 (y(x)-x) y(x)^2 y'(x)+x^2 \left (x y(x)^2-1\right ) y'(x)^2-\left (\left (x^2 y(x)-1\right ) y(x)^2\right )=0 \]

✗ Mathematica : cpu = 45.0103 (sec), leaf count = 0

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

, could not solve

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

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

dsolve(x^2*(x*y(x)^2-1)*diff(y(x),x)^2+2*x^2*y(x)^2*(y(x)-x)*diff(y(x),x)-y(x)^2*(x^2*y(x)-1)=0,y(x))
 

, could not solve

dsolve(x^2*(x*y(x)^2-1)*diff(y(x),x)^2+2*x^2*y(x)^2*(y(x)-x)*diff(y(x),x)-y(x)^2*(x^2*y(x)-1)=0,y(x))