\[ y'(x)=\frac {x^3 y(x)^6+x^3 y(x)^4+x^3+3 x^2 y(x)^4+2 x^2 y(x)^2+3 x y(x)^2+x+1}{x^5 y(x)} \] ✗ Mathematica : cpu = 40.7378 (sec), leaf count = 0 , could not solve
DSolve[Derivative[1][y][x] == (1 + x + x^3 + 3*x*y[x]^2 + 2*x^2*y[x]^2 + 3*x^2*y[x]^4 + x^3*y[x]^4 + x^3*y[x]^6)/(x^5*y[x]), y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(diff(y(x),x) = (x^3+y(x)^4*x^3+2*x^2*y(x)^2+x+x^3*y(x)^6+3*x^2*y(x)^4+3*x*y(x)^2+1)/x^5/y(x),y(x))