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 = 0.0426833 (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 = 0.184 (sec), leaf count = 51

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