4.249   ODE No. 1249

(x21)d2dx2y(x)+(ax+b)ddxy(x)+cy(x)=0

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

Mathematica: cpu = 0.175022 (sec), leaf count = 193 {{y(x)c2212(a+b2)(x1)12(ab+2)2F1(b212a22a4c+1+12,b2+12a22a4c+1+12;a2b2+2;1x2)+c12F1(a212a22a4c+112,a2+12a22a4c+112;a2+b2;1x2)}}

Maple: cpu = 0.062 (sec), leaf count = 134 {y(x)=_C12F1(1212a22a4c+1+a2,12+12a22a4c+1+a2;a2b2;12+x2)+_C2(12+x2)1a2+b22F1(1212a22a4c+1+b2,12+12a22a4c+1+b2;2a2+b2;12+x2)}