5.46   ODE No. 1494

\[ \boxed { {x}^{2}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) +5\,x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +4\,{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -\ln \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.027003 (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 = 0.016 (sec), leaf count = 25 \[ \left \{ y \left ( x \right ) ={\it \_C1}+{\frac {{\it \_C2}\,\ln \left ( x \right ) }{x}}+{\frac {{\it \_C3}}{x}}+{\frac {x \left ( \ln \left ( x \right ) -2 \right ) }{4}} \right \} \]