2.280   ODE No. 280

\[ (y(x)+x)^2 y'(x)-a^2=0 \] Mathematica : cpu = 0.139244 (sec), leaf count = 21


\[\text {Solve}\left [y(x)-a \tan ^{-1}\left (\frac {y(x)+x}{a}\right )=c_1,y(x)\right ]\] Maple : cpu = 0.063 (sec), leaf count = 24


\[y \relax (x ) = a \RootOf \left (\tan \left (\textit {\_Z} \right ) a -\textit {\_Z} a +c_{1}-x \right )-c_{1}\]