2.1308   ODE No. 1308

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

\[ x^3 y''(x)-x^2 y'(x)+x y(x)-\log ^3(x)=0 \] Mathematica : cpu = 0.0206537 (sec), leaf count = 41

\[\left \{\left \{y(x)\to c_1 x+c_2 x \log (x)+\frac {2 \log ^3(x)+6 \log ^2(x)+9 \log (x)+6}{8 x}\right \}\right \}\]

Maple : cpu = 0.02 (sec), leaf count = 36

\[ \left \{ y \left ( x \right ) =x{\it \_C2}+x\ln \left ( x \right ) {\it \_C1}+{\frac {2\, \left ( \ln \left ( x \right ) \right ) ^{3}+6\, \left ( \ln \left ( x \right ) \right ) ^{2}+9\,\ln \left ( x \right ) +6}{8\,x}} \right \} \]