2.510   ODE No. 510

\[ -\left (x^4 y(x)^2-1\right ) y(x)^2+x^2 \left (x^2 y(x)^4-1\right ) y'(x)^2+2 x^3 \left (y(x)^2-x^2\right ) y(x)^3 y'(x)=0 \]

✗ Mathematica : cpu = 46.4054 (sec), leaf count = 0

DSolve[-(y[x]^2*(-1 + x^4*y[x]^2)) + 2*x^3*y[x]^3*(-x^2 + y[x]^2)*Derivative[1][y][x] + x^2*(-1 + x^2*y[x]^4)*Derivative[1][y][x]^2 == 0,y[x],x]
 

, could not solve

DSolve[-(y[x]^2*(-1 + x^4*y[x]^2)) + 2*x^3*y[x]^3*(-x^2 + y[x]^2)*Derivative[1][y][x] + x^2*(-1 + x^2*y[x]^4)*Derivative[1][y][x]^2 == 0, y[x], x]

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

dsolve(x^2*(x^2*y(x)^4-1)*diff(y(x),x)^2+2*x^3*y(x)^3*(y(x)^2-x^2)*diff(y(x),x)-y(x)^2*(x^4*y(x)^2-1)=0,y(x))
 

, could not solve

dsolve(x^2*(x^2*y(x)^4-1)*diff(y(x),x)^2+2*x^3*y(x)^3*(y(x)^2-x^2)*diff(y(x),x)-y(x)^2*(x^4*y(x)^2-1)=0,y(x))