2.1771   ODE No. 1771

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

\[ x^2 (y(x)+x) y''(x)-\left (x y'(x)-y(x)\right )^2=0 \] Mathematica : cpu = 0.0809385 (sec), leaf count = 21

\[\left \{\left \{y(x)\to c_2 x e^{\frac {c_1}{x}}-x\right \}\right \}\]

Maple : cpu = 0.162 (sec), leaf count = 22

\[ \left \{ y \left ( x \right ) =-{\frac {x}{{\it \_C2}} \left ( -{{\rm e}^{{\frac {{\it \_C1}}{x}}}}{{\rm e}^{-1}}+{\it \_C2} \right ) } \right \} \]