ODE No. 533

\[ a+x y'(x)^3-y(x) y'(x)^2=0 \]

✓ Mathematica : cpu = 0.0039357 (sec), leaf count = 16

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

\[\left \{\left \{y(x)\to \frac {a}{c_1{}^2}+c_1 x\right \}\right \}\]

✓ Maple : cpu = 0.036 (sec), leaf count = 76

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

\[y \left (x \right ) = \frac {3 \,2^{{1}/{3}} \left (a \,x^{2}\right )^{{1}/{3}}}{2}\]