2.1314   ODE No. 1314

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

x(nv1)(n+v)y(x)(2(n1)x2+2n1)y(x)+x(x2+1)y(x)=0 Mathematica : cpu = 0.177807 (sec), leaf count = 87

{{y(x)c12F1(n2v2,n2+v2+12;1n;x2)+c2x2n2F1(n2v2,n2+v2+12;n+1;x2)}}

Maple : cpu = 0.081 (sec), leaf count = 35

{y(x)=_C1xnLegendreP(v,n,x2+1)+_C2xnLegendreQ(v,n,x2+1)}