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 = 0.0293208 (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 = 0.125 (sec), leaf count = 24

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