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 = 0.0210873 (sec), leaf count = 42

\[\left \{\left \{y(x)\to f\left (c_1\right )-2 \sqrt {c_1} \sqrt {x},y(x)\to f\left (c_1\right )+2 \sqrt {c_1} \sqrt {x}\right \}\right \}\] Maple : cpu = 0.171 (sec), leaf count = 16

\[ \left \{ y \left ( x \right ) =f \left ( {\frac {{{\it \_C1}}^{2}}{4}} \right ) +{\it \_C1}\,\sqrt {x} \right \} \]