ODE No. 533

$$a+x{y}^{\prime }(x{)}^3-y(x)y^{\prime }(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0041365 (sec), leaf count = 16

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

$$\left\{\{y(x)\to \frac{a}{c_1{}^2}+c_{1}x\}\right\}$$ ✓ Maple : cpu = 0.04 (sec), leaf count = 76

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

$$y\left(x\right)=\frac{32^{\frac{1}{3}}{\left(a{x}^2\right)}^{\frac{1}{3}}}{2}$$