ODE No. 1511

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

\[ x^3 y^{(3)}(x)+(x+8) x^3-6 (x-1) x^3 \log (x)+3 x^2 y''(x)-2 x y'(x)+2 y(x)=0 \] Mathematica : cpu = 0.0371506 (sec), leaf count = 51

\[\left \{\left \{y(x)\to \frac {c_1}{x^2}+c_2 x+c_3 x \log (x)+\frac {1}{450} \left (-50 x^4+50 x^4 \log (x)-18 x^3-135 x^3 \log (x)\right )\right \}\right \}\] Maple : cpu = 0.037 (sec), leaf count = 49

\[ \left \{ y \left ( x \right ) ={\frac { \left ( 50\,{x}^{6}-135\,{x}^{5}+450\,{\it \_C3}\,{x}^{3} \right ) \ln \left ( x \right ) -50\,{x}^{6}-18\,{x}^{5}+450\,{\it \_C1}\,{x}^{3}+450\,{\it \_C2}}{450\,{x}^{2}}} \right \} \]