2.1519   ODE No. 1519

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

\[ (x+3) x^2 y^{(3)}(x)-3 (x+2) x y''(x)+6 (x+1) y'(x)-6 y(x)=0 \] Mathematica : cpu = 0.0316449 (sec), leaf count = 58

\[\left \{\left \{y(x)\to \frac {1}{8} \left (2 c_1 \left (x^3-3 x^2+3 x+3\right )-(x-1) \left (4 c_2 \left (x^2-2 x-1\right )+c_3 \left (-3 x^2+2 x+1\right )\right )\right )\right \}\right \}\]

Maple : cpu = 0.155 (sec), leaf count = 19

\[ \left \{ y \left ( x \right ) ={\it \_C2}\,{x}^{3}+{\it \_C1}\,{x}^{2}+{\it \_C3}\,x+{\it \_C3} \right \} \]