2.1068   ODE No. 1068

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

v(v+1)y(x)+y(x)+cot(x)y(x)=0 Mathematica : cpu = 0.129742 (sec), leaf count = 20

{{y(x)c1Pv(cos(x))+c2Qv(cos(x))}} Maple : cpu = 0.288 (sec), leaf count = 45

{y(x)=c2hypergeom([v2+1,v2+12],[32],cos2(x))cos(x)+c1hypergeom([v2,v2+12],[12],cos2(x))}