2.422   ODE No. 422

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

\[ x y'(x)^2-2 y(x) y'(x)+4 x=0 \] Mathematica : cpu = 0.0463495 (sec), leaf count = 29

\[\left \{\left \{y(x)\to 2 x \cosh \left (c_1-\log (x)\right )\right \},\left \{y(x)\to 2 x \cosh \left (c_1+\log (x)\right )\right \}\right \}\]

Maple : cpu = 0.038 (sec), leaf count = 30

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