2.531   ODE No. 531

1. Problem in Latex
2. Mathematica input
3. Maple input

$$-x^{3}y(x{)}^6-(x^2+y(x{)}^4+xy(x{)}^2)y^{\prime }(x{)}^2+(x^{3}y(x{)}^2+x^{2}y(x{)}^4+xy(x{)}^6)y^{\prime }(x)+y^{\prime }(x{)}^2=0$$ ✗ Mathematica : cpu = 61.0335 (sec), leaf count = 0 , could not solve

DSolve[-(x^3*y[x]^6) + (x^3*y[x]^2 + x^2*y[x]^4 + x*y[x]^6)*Derivative[1][y][x] + Derivative[1][y][x]^2 - (x^2 + x*y[x]^2 + y[x]^4)*Derivative[1][y][x]^2 == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(diff(y(x),x)^2-(y(x)^4+x*y(x)^2+x^2)*diff(y(x),x)^2+(x*y(x)^6+x^2*y(x)^4+x^3*y(x)^2)*diff(y(x),x)-x^3*y(x)^6=0,y(x))