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 = 0.0144222 (sec), leaf count = 41

\[\left \{\left \{y(x)\to \frac {2 \log ^3(x)+6 \log ^2(x)+9 \log (x)+6}{8 x}+c_1 x+c_2 x \log (x)\right \}\right \}\] Maple : cpu = 0.017 (sec), leaf count = 40

\[\left \{y \left (x \right ) = \frac {8 c_{2} x^{2}+2 \ln \left (x \right )^{3}+6 \ln \left (x \right )^{2}+\left (8 c_{1} x^{2}+9\right ) \ln \left (x \right )+6}{8 x}\right \}\]