2.1494   ODE No. 1494

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

\[ x^2 y^{(3)}(x)+5 x y''(x)+4 y'(x)-\log (x)=0 \] Mathematica : cpu = 0.0211999 (sec), leaf count = 43

\[\left \{\left \{y(x)\to -\frac {x}{2}+\frac {1}{4} x \log (x)-\frac {c_1}{x}-\frac {2 c_2}{x}-\frac {2 c_2 \log (x)}{x}+c_3\right \}\right \}\] Maple : cpu = 0.029 (sec), leaf count = 32

\[\left \{y \left (x \right ) = \frac {4 c_{1} x -2 x^{2}+4 c_{3}+\left (x^{2}+4 c_{2}\right ) \ln \left (x \right )}{4 x}\right \}\]