2.211   ODE No. 211

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

\[ y(x) y'(x)-x e^{\frac {x}{y(x)}}=0 \] Mathematica : cpu = 0.203383 (sec), leaf count = 41

\[\text {Solve}\left [\int _1^{\frac {y(x)}{x}}\frac {K[1]}{K[1]^2-e^{\frac {1}{K[1]}}}dK[1]=-\log (x)+c_1,y(x)\right ]\] Maple : cpu = 0.03 (sec), leaf count = 31

\[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( -\int ^{{\it \_Z}}\!{\frac {{\it \_a}}{-{{\it \_a}}^{2}+{{\rm e}^{{{\it \_a}}^{-1}}}}}{d{\it \_a}}+\ln \left ( x \right ) +{\it \_C1} \right ) x \right \} \]