2.1308   ODE No. 1308

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

\[ -x^2 y'(x)+x^3 y''(x)+x y(x)-\log ^3(x)=0 \] Mathematica : cpu = 0.0136371 (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 = 0.052 (sec), leaf count = 40

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