ODE No. 537

$$(x^6+3xy(x{)}^2)y^{\prime }(x)-2x^{5}y(x)+x^3{y}^{\prime }(x{)}^3-3x^{2}y(x)y^{\prime }(x{)}^2-y(x{)}^3=0$$ ✓ Mathematica : cpu = 0.03308 (sec), leaf count = 16

DSolve[-2*x^5*y[x] - y[x]^3 + (x^6 + 3*x*y[x]^2)*Derivative[1][y][x] - 3*x^2*y[x]*Derivative[1][y][x]^2 + x^3*Derivative[1][y][x]^3 == 0,y[x],x]
 

$$\left\{\{y(x)\to x(c_{1}x+c_1{}^3)\}\right\}$$ ✓ Maple : cpu = 4.368 (sec), leaf count = 209

dsolve(x^3*diff(y(x),x)^3-3*x^2*y(x)*diff(y(x),x)^2+(3*x*y(x)^2+x^6)*diff(y(x),x)-y(x)^3-2*x^5*y(x)=0,y(x))
 

$$y\left(x\right)=-\frac{2\sqrt{-3x}{x}^2}{9}$$