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

2.1357   ODE No. 1357

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

y″(x)=−(ax2+a−1)y′(x)x(x2+1)−y(x)(bx2+c)x2(x2+1) ✓ Mathematica : cpu = 0.78533 (sec), leaf count = 264

{{y(x)→x−12a2−4a−4c+4−a2+1(c12F1(14(−a2−2a−4b+1−a2−4a−4c+4+1),14(a2−2a−4b+1−a2−4a−4c+4+1);1−12a2−4a−4c+4;−x2)+c2xa2−4a−4c+42F1(14(−a2−2a−4b+1+a2−4a−4c+4+1),14(a2−2a−4b+1+a2−4a−4c+4+1);12(a2−4a−4c+4+2);−x2))}}

✓ Maple : cpu = 0.13 (sec), leaf count = 97

{y(x)=x1−a2(LegendreQ(−12+12a2−2a−4b+1,12a2−4a−4c+4,x2+1)_C2+LegendreP(−12+12a2−2a−4b+1,12a2−4a−4c+4,x2+1)_C1)}

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