2.573   ODE No. 573

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ f\left (x y'(x)^2\right )+2 x y'(x)-y(x)=0 \] Mathematica : cpu = 0.021881 (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 = 0.09 (sec), leaf count = 24

\[ \left \{ y \left ( x \right ) ={\it \_C1}+2\,\sqrt {x}{\it RootOf} \left ( -f \left ( {{\it \_Z}}^{2} \right ) -2\,{\it \_Z}+{\it \_C1}+{\it \_C2} \right ) \right \} \]