2.1519   ODE No. 1519

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

\[ (x+3) x^2 y^{(3)}(x)+6 (x+1) y'(x)-3 (x+2) x y''(x)-6 y(x)=0 \] Mathematica : cpu = 0.0213364 (sec), leaf count = 65

\[\left \{\left \{y(x)\to \frac {1}{4} c_1 \left (x^3-3 x^2+3 x+3\right )+\frac {1}{2} c_2 \left (-x^3+3 x^2-x-1\right )+\frac {1}{8} c_3 \left (3 x^3-5 x^2+x+1\right )\right \}\right \}\] Maple : cpu = 0.106 (sec), leaf count = 19

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