2.222   ODE No. 222

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

\[ (2 y(x)+x+7) y'(x)-y(x)+2 x+4=0 \] Mathematica : cpu = 0.0547639 (sec), leaf count = 65

\[\text {Solve}\left [2 \log \left (\frac {4 \left (x^2+y(x)^2+4 y(x)+6 x+13\right )}{5 (x+3)^2}\right )+2 \tan ^{-1}\left (\frac {y(x)-2 (x+2)}{2 y(x)+x+7}\right )+4 \log (x+3)+5 c_1=0,y(x)\right ]\] Maple : cpu = 0.049 (sec), leaf count = 32

\[ \left \{ y \left ( x \right ) =-2+ \left ( -x-3 \right ) \tan \left ( {\it RootOf} \left ( \ln \left ( \left ( \cos \left ( {\it \_Z} \right ) \right ) ^{-2} \right ) -{\it \_Z}+2\,\ln \left ( x+3 \right ) +2\,{\it \_C1} \right ) \right ) \right \} \]