3.275   ODE No. 275

\[ \boxed { \left ( \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}+x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.024003 (sec), leaf count = 18 \[ \text {Solve}\left [y(x)-\tan ^{-1}\left (\frac {x}{y(x)}\right )=c_1,y(x)\right ] \]

Maple: cpu = 0.078 (sec), leaf count = 30 \[ \left \{ {\it \_C1}+{\frac {{{\rm e}^{-2\,iy \left ( x \right ) }} \left ( ix+y \left ( x \right ) \right ) }{2\,iy \left ( x \right ) +2\,x} }=0 \right \} \]