2.423   ODE No. 423

\[ x y'(x)^2-2 y(x) y'(x)+2 y(x)+x=0 \] Mathematica : cpu = 0.0847699 (sec), leaf count = 59


\[\left \{\left \{y(x)\to \frac {1}{2} \left (-2 e^{-c_1} x^2+2 x-e^{c_1}\right )\right \},\left \{y(x)\to \frac {1}{2} \left (-e^{c_1} x^2+2 x-2 e^{-c_1}\right )\right \}\right \}\] Maple : cpu = 0.046 (sec), leaf count = 44


\[y \relax (x ) = \left (1-\sqrt {2}\right ) x\]