2.223   ODE No. 223

\[ (2 y(x)-x) y'(x)-y(x)-2 x=0 \] Mathematica : cpu = 0.0319335 (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 = 0.155 (sec), leaf count = 51


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