ODE No. 542

\[ 16 y(x)^2 y'(x)^3+2 x y'(x)-y(x)=0 \]

✓ Mathematica : cpu = 0.0217818 (sec), leaf count = 20

DSolve[-y[x] + 2*x*Derivative[1][y][x] + 16*y[x]^2*Derivative[1][y][x]^3 == 0,y[x],x]

\[\left \{\left \{y(x)\to \sqrt {c_1 x+2 c_1{}^3}\right \}\right \}\]

✓ Maple : cpu = 0.525 (sec), leaf count = 107

dsolve(16*y(x)^2*diff(y(x),x)^3+2*x*diff(y(x),x)-y(x)=0,y(x))

\[y \left (x \right ) = -\frac {2^{{1}/{4}} 3^{{1}/{4}} \left (-x^{3}\right )^{{1}/{4}}}{3}\]