2.531   ODE No. 531

\[ -x^3 y(x)^6-\left (x^2+y(x)^4+x y(x)^2\right ) y'(x)^2+\left (x^3 y(x)^2+x^2 y(x)^4+x y(x)^6\right ) y'(x)+y'(x)^2=0 \]

✗ Mathematica : cpu = 49.6258 (sec), leaf count = 0

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]
 

, 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

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))
 

, 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))