[next] [prev] [prev-tail] [tail] [up]

2.1325   ODE No. 1325

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

y″(x)=−y(x)(abx−αβ)(x−1)x2−y′(x)(x(a+b+1)+α+β−1)(x−1)x ✓ Mathematica : cpu = 0.257105 (sec), leaf count = 52

{{y(x)→(−1)αc1xα2F1(a+α,α+b;α−β+1;x)+(−1)βc2xβ2F1(a+β,b+β;−α+β+1;x)}}

✓ Maple : cpu = 0.147 (sec), leaf count = 103

{y(x)=_C1(x−1)1−a−α−b−βxα2F1(1−b−β,1−a−β;1+α−β;x)+_C2(x−1)1−a−α−b−βxβ2F1(1−α−b,1−a−α;1−α+β;x)}

[next] [prev] [prev-tail] [front] [up]