2.280   ODE No. 280

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ (y(x)+x)^2 y'(x)-a^2=0 \] Mathematica : cpu = 0.150665 (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 = 0.067 (sec), leaf count = 24

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