2.1244   ODE No. 1244

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

(vn)(n+v+1)y(x)+2(n+1)xy(x)+(x21)y(x)=0 Mathematica : cpu = 0.0307144 (sec), leaf count = 42

{{y(x)c1(x21)n/2Pvn(x)+c2(x21)n/2Qvn(x)}}

Maple : cpu = 0.067 (sec), leaf count = 35

{y(x)=_C1(x21)n2LegendreP(v,n,x)+_C2(x21)n2LegendreQ(v,n,x)}