2.798   ODE No. 798

\[ y'(x)=\frac {y(x) (y(x)+x+1)}{(x+1) \left (2 y(x)^3+y(x)+x\right )} \]

✓ Mathematica : cpu = 0.318705 (sec), leaf count = 27

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

\[\text {Solve}\left [y(x)^2-\frac {x}{y(x)}+\log (y(x))-\log (x+1)=c_1,y(x)\right ]\]

✓ Maple : cpu = 0.106 (sec), leaf count = 30

dsolve(diff(y(x),x) = 1/(2*y(x)^3+y(x)+x)*(x+y(x)+1)*y(x)/(1+x),y(x))
 

\[y \left (x \right ) = {\mathrm e}^{\operatorname {RootOf}\left (-{\mathrm e}^{3 \textit {\_Z}}+\ln \left (1+x \right ) {\mathrm e}^{\textit {\_Z}}+c_{1} {\mathrm e}^{\textit {\_Z}}-\textit {\_Z} \,{\mathrm e}^{\textit {\_Z}}+x \right )}\]