2.1582   ODE No. 1582

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

aνxν1y(x)+axνy(x)+y(5)(x)=0 Mathematica : cpu = 0.66111 (sec), leaf count = 528

{{y(x)ν16ν+4(ν+4ν)16ν+4a1ν+4(xν)1ν(a1ν+4(xν)1ν(a1ν+4(xν)1ν(c5a1ν+4(xν)1ν1F4(1;νν+4+5ν+4,νν+4+6ν+4,νν+4+7ν+4,νν+4+8ν+4;a(xν)ν+4ν(ν+4)4)+c4ν4ν+4(ν+4ν)4ν+40F3(;νν+4+5ν+4,νν+4+6ν+4,νν+4+7ν+4;a(xν)ν+4ν(ν+4)4))+c3ν8ν+4(ν+4ν)8ν+40F3(;νν+4+3ν+4,νν+4+5ν+4,νν+4+6ν+4;a(xν)ν+4ν(ν+4)4))+c2ν12ν+4(ν+4ν)12ν+40F3(;νν+4+2ν+4,νν+4+3ν+4,νν+4+5ν+4;a(xν)ν+4ν(ν+4)4))+c10F3(;νν+4+1ν+4,νν+4+2ν+4,νν+4+3ν+4;a(xν)ν+4ν(ν+4)4)}}

Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol

{y(x)=DESol({d5dx5_Y(x)+axνddx_Y(x)+aνxν1_Y(x)},{_Y(x)})}