3.907   ODE No. 907

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =1/2\,{\frac {-2\,\cos \left ( x \right ) x+2\,{x}^{2}\sin \left ( x \right ) +2\,x+2\, \left ( y \left ( x \right ) \right ) ^{2}+4\,y \left ( x \right ) \cos \left ( x \right ) x-4\,xy \left ( x \right ) +{x}^{2}\cos \left ( 2\,x \right ) +3\,{x}^{2}-4\,{x}^{2}\cos \left ( x \right ) }{x}}=0} \]

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

Mathematica: cpu = 0.052507 (sec), leaf count = 22 \[ \left \{\left \{y(x)\to \frac {1}{c_1-\log (x)}-x (\cos (x)-1)\right \}\right \} \]

Maple: cpu = 0.109 (sec), leaf count = 22 \[ \left \{ y \left ( x \right ) =-{\frac { \left ( 2\,\cos \left ( x \right ) -2 \right ) x}{2}}+ \left ( {\it \_C1}-\ln \left ( x \right ) \right ) ^{-1} \right \} \]