ODE No. 1413

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

\[ y''(x)=\frac {y'(x)}{x (\log (x)-1)}-\frac {y(x)}{x^2 (\log (x)-1)} \] Mathematica : cpu = 0.372068 (sec), leaf count = 0 , could not solve

DSolve[Derivative[2][y][x] == -(y[x]/(x^2*(-1 + Log[x]))) + Derivative[1][y][x]/(x*(-1 + Log[x])), y[x], x]

Maple : cpu = 0.091 (sec), leaf count = 12

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,x+{\it \_C2}\,\ln \left ( x \right ) \right \} \]