2.573   ODE No. 573

\[ f\left (x y'(x)^2\right )+2 x y'(x)-y(x)=0 \] Mathematica : cpu = 0.0254396 (sec), leaf count = 42


\[\left \{\left \{y(x)\to f(c_1)-2 \sqrt {c_1} \sqrt {x},y(x)\to f(c_1)+2 \sqrt {c_1} \sqrt {x}\right \}\right \}\] Maple : cpu = 0.141 (sec), leaf count = 24


\[y \relax (x ) = c_{1}+2 \RootOf \left (-f \left (\textit {\_Z}^{2}\right )-2 \textit {\_Z} +c_{1}+c_{2}\right ) \sqrt {x}\]