2.1683   ODE No. 1683

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

\[ x^3 y''(x)-a \left (x y'(x)-y(x)\right )^2=0 \] Mathematica : cpu = 0.0888071 (sec), leaf count = 26

\[\left \{\left \{y(x)\to -\frac {x \log \left (a \left (-\frac {c_1}{x}-c_2\right )\right )}{a}\right \}\right \}\] Maple : cpu = 1.171 (sec), leaf count = 23

\[\left \{y \left (x \right ) = -\frac {x \ln \left (\frac {\left (c_{1} x -c_{2}\right ) a}{x}\right )}{a}\right \}\]