ODE No. 316

\[ \left (2 x y(x)^3+y(x)\right ) y'(x)+2 y(x)^2=0 \] Mathematica : cpu = 0.169528 (sec), leaf count = 48

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

\[\left \{\{y(x)\to 0\},\text {Solve}\left [x=-\frac {1}{4} e^{-\frac {1}{2} y(x)^2} \text {Ei}\left (\frac {y(x)^2}{2}\right )+c_1 e^{-\frac {1}{2} y(x)^2},y(x)\right ]\right \}\] Maple : cpu = 0.055 (sec), leaf count = 53

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

\[y \left (x \right ) = 0\]