2.471   ODE No. 471

\[ y(x) y'(x)^2-(y(x)-x) y'(x)-x=0 \] Mathematica : cpu = 0.0163362 (sec), leaf count = 47


\[\left \{\{y(x)\to x+c_1\},\left \{y(x)\to -\sqrt {-x^2+2 c_1}\right \},\left \{y(x)\to \sqrt {-x^2+2 c_1}\right \}\right \}\] Maple : cpu = 0.025 (sec), leaf count = 33


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