3.433   ODE No. 433

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

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

Mathematica: cpu = 0.510065 (sec), leaf count = 22 \[ \left \{\left \{y(x)\to \frac {-a-2 c_1 x+c_1^2}{x}\right \}\right \} \]

Maple: cpu = 0.640 (sec), leaf count = 32 \[ \left \{ y \left ( x \right ) =-{\frac {{x}^{2}+a}{x}},y \left ( x \right ) ={\it \_C1}+{\frac {1}{x} \left ( {\frac {{{\it \_C1}}^{2}}{4} }-a \right ) } \right \} \]