2.223   ODE No. 223

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

\[ (2 y(x)-x) y'(x)-y(x)-2 x=0 \] Mathematica : cpu = 0.0217317 (sec), leaf count = 55

\[\left \{\left \{y(x)\to \frac {1}{2} \left (x-\sqrt {5 x^2-4 e^{c_1}}\right )\right \},\left \{y(x)\to \frac {1}{2} \left (x+\sqrt {5 x^2-4 e^{c_1}}\right )\right \}\right \}\] Maple : cpu = 0.129 (sec), leaf count = 51

\[ \left \{ y \left ( x \right ) ={\frac {1}{2\,{\it \_C1}} \left ( {\it \_C1}\,x-\sqrt {5\,{{\it \_C1}}^{2}{x}^{2}+4} \right ) },y \left ( x \right ) ={\frac {1}{2\,{\it \_C1}} \left ( {\it \_C1}\,x+\sqrt {5\,{{\it \_C1}}^{2}{x}^{2}+4} \right ) } \right \} \]