2.1516   ODE No. 1516

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

\[ x^3 y^{(3)}(x)+(x+3) x^2 y''(x)+5 (x-6) x y'(x)+(4 x+30) y(x)=0 \] Mathematica : cpu = 260.122 (sec), leaf count = 15142 \[ \text {Too large to display} \] Maple : cpu = 0.405 (sec), leaf count = 188

\[\left \{y \left (x \right ) = \frac {c_{3} x^{7}+29 c_{3} x^{6}+480 c_{3} x^{5}+\left (c_{1}+5612 c_{3}\right ) x^{4}+c_{3} \left (x^{8}+28 x^{7}+450 x^{6}+5100 x^{5}+42900 x^{4}+267120 x^{3}+1179360 x^{2}+3326400 x +4536000\right ) \Ei \left (1, -x \right ) {\mathrm e}^{-x}+\left (-84 c_{1}+40152 c_{3}\right ) x^{3}+c_{2} \left (x^{8}+28 x^{7}+450 x^{6}+5100 x^{5}+42900 x^{4}+267120 x^{3}+1179360 x^{2}+3326400 x +4536000\right ) {\mathrm e}^{-x}+60 c_{3} \left (x^{4}-84 x^{3}+2016 x^{2}-20160 x +75600\right ) \ln \left (x \right )+\left (2016 c_{1}+654192 c_{3}\right ) x^{2}+75600 c_{1}+27367200 c_{3}+\left (-20160 c_{1}-2761920 c_{3}\right ) x}{x^{6}}\right \}\]