3.573   ODE No. 573

\[ \boxed { f \left ( x \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2} \right ) +2\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.012002 (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 = 0.109 (sec), leaf count = 16 \[ \left \{ y \left ( x \right ) =f \left ( {\frac {{{\it \_C1}}^{2}}{4}} \right ) +{\it \_C1}\,\sqrt {x} \right \} \]