2.275   ODE No. 275

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

\[ \left (x^2+y(x)^2+x\right ) y'(x)-y(x)=0 \] Mathematica : cpu = 0.11129 (sec), leaf count = 18

\[\text {Solve}\left [y(x)-\tan ^{-1}\left (\frac {x}{y(x)}\right )=c_1,y(x)\right ]\] Maple : cpu = 0.067 (sec), leaf count = 30

\[ \left \{ {\it \_C1}+{\frac { \left ( ix+y \left ( x \right ) \right ) {{\rm e}^{-2\,iy \left ( x \right ) }}}{2\,iy \left ( x \right ) +2\,x}}=0 \right \} \]