2.275   ODE No. 275

\[ \left (x^2+y(x)^2+x\right ) y'(x)-y(x)=0 \] Mathematica : cpu = 0.122071 (sec), leaf count = 18


\[\text {Solve}\left [y(x)-\tan ^{-1}\left (\frac {x}{y(x)}\right )=c_1,y(x)\right ]\] Maple : cpu = 0.071 (sec), leaf count = 30


\[c_{1}+\frac {{\mathrm e}^{-2 i y \relax (x )} \left (i x +y \relax (x )\right )}{2 i y \relax (x )+2 x} = 0\]