ODE No. 541

$$y(x{)}^2{y}^{\prime }(x{)}^3+2x{y}^{\prime }(x)-y(x)=0$$ ✓ Mathematica : cpu = 0.0287588 (sec), leaf count = 39

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

$$\{\{y(x)\to -\sqrt{2c_{1}x+c_1{}^3}\},\{y(x)\to \sqrt{2c_{1}x+c_1{}^3}\}\}$$ ✓ Maple : cpu = 0.554 (sec), leaf count = 103

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

$$y\left(x\right)=-\frac{22^{\frac{1}{4}}{3}^{\frac{1}{4}}{(-x^3)}^{\frac{1}{4}}}{3}$$