2.1494   ODE No. 1494

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

\[ x^2 y^{(3)}(x)+4 y'(x)+5 x y''(x)-\log (x)=0 \] Mathematica : cpu = 0.0177939 (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 = 0.125 (sec), leaf count = 32

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