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 = 0.0279752 (sec), leaf count = 43

\[\left \{\left \{y(x)\to -\frac {c_1}{x}-\frac {2 c_2}{x}-\frac {2 c_2 \log (x)}{x}+c_3-\frac {x}{2}+\frac {1}{4} x \log (x)\right \}\right \}\]

Maple : cpu = 0.019 (sec), leaf count = 25

\[ \left \{ y \left ( x \right ) ={\it \_C1}+{\frac {{\it \_C2}\,\ln \left ( x \right ) }{x}}+{\frac {{\it \_C3}}{x}}+{\frac {x \left ( \ln \left ( x \right ) -2 \right ) }{4}} \right \} \]