ODE No. 1671

\[ 2 x y''(x)+y'(x)^3+y'(x)=0 \] Mathematica : cpu = 0.109059 (sec), leaf count = 59

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

\[\left \{\left \{y(x)\to c_2-2 i e^{c_1} \sqrt {-x+e^{2 c_1}}\right \},\left \{y(x)\to 2 i e^{c_1} \sqrt {-x+e^{2 c_1}}+c_2\right \}\right \}\] Maple : cpu = 0.895 (sec), leaf count = 35

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

\[y \left (x \right ) = \frac {2 \sqrt {c_{1} x -1}}{c_{1}}+c_{2}\]