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 = 0.149678 (sec), leaf count = 18

\[\text {Solve}\left [y(x)-\tan ^{-1}\left (\frac {x}{y(x)}\right )=c_1,y(x)\right ]\] Maple : cpu = 0.072 (sec), leaf count = 30

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