\[ -\left (x^4 y(x)^2-1\right ) y(x)^2+x^2 \left (x^2 y(x)^4-1\right ) y'(x)^2+2 x^3 \left (y(x)^2-x^2\right ) y(x)^3 y'(x)=0 \] ✗ Mathematica : cpu = 51.0346 (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))