2.228   ODE No. 228

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

(4y(x)+11x11)y(x)25y(x)8x+62=0 Mathematica : cpu = 0.250611 (sec), leaf count = 3357

{{y(x)14(23(59049cosh(3c18)x2+59049sinh(3c18)x213122cosh(3c18)x13122sinh(3c18)x+729cosh(3c18)+729sinh(3c18)729)81(9x1)(81cosh(3c18)x2+81sinh(3c18)x218cosh(3c18)x18sinh(3c18)x+cosh(3c18)+sinh(3c18)1)258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)+4(59049cosh(3c18)x2+59049sinh(3c18)x213122cosh(3c18)x13122sinh(3c18)x+729cosh(3c18)+729sinh(3c18)729)3+(258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)39366)2393663+258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)+4(59049cosh(3c18)x2+59049sinh(3c18)x213122cosh(3c18)x13122sinh(3c18)x+729cosh(3c18)+729sinh(3c18)729)3+(258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)39366)23936638123(9x1)(81cosh(3c18)x2+81sinh(3c18)x218cosh(3c18)x18sinh(3c18)x+cosh(3c18)+sinh(3c18)1)+13(9x1))11(x1)4},{y(x)14((1+i3)(59049cosh(3c18)x2+59049sinh(3c18)x213122cosh(3c18)x13122sinh(3c18)x+729cosh(3c18)+729sinh(3c18)729)81 22/3(9x1)(81cosh(3c18)x2+81sinh(3c18)x218cosh(3c18)x18sinh(3c18)x+cosh(3c18)+sinh(3c18)1)258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)+4(59049cosh(3c18)x2+59049sinh(3c18)x213122cosh(3c18)x13122sinh(3c18)x+729cosh(3c18)+729sinh(3c18)729)3+(258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)39366)2393663(1i3)258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)+4(59049cosh(3c18)x2+59049sinh(3c18)x213122cosh(3c18)x13122sinh(3c18)x+729cosh(3c18)+729sinh(3c18)729)3+(258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)39366)239366316223(9x1)(81cosh(3c18)x2+81sinh(3c18)x218cosh(3c18)x18sinh(3c18)x+cosh(3c18)+sinh(3c18)1)+13(9x1))11(x1)4},{y(x)14((1i3)(59049cosh(3c18)x2+59049sinh(3c18)x213122cosh(3c18)x13122sinh(3c18)x+729cosh(3c18)+729sinh(3c18)729)81 22/3(9x1)(81cosh(3c18)x2+81sinh(3c18)x218cosh(3c18)x18sinh(3c18)x+cosh(3c18)+sinh(3c18)1)258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)+4(59049cosh(3c18)x2+59049sinh(3c18)x213122cosh(3c18)x13122sinh(3c18)x+729cosh(3c18)+729sinh(3c18)729)3+(258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)39366)2393663(1+i3)258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)+4(59049cosh(3c18)x2+59049sinh(3c18)x213122cosh(3c18)x13122sinh(3c18)x+729cosh(3c18)+729sinh(3c18)729)3+(258280326cosh(3c14)x4258280326sinh(3c14)x4+114791256cosh(3c14)x3+114791256sinh(3c14)x3+6377292cosh(3c18)x219131876cosh(3c14)x2+6377292sinh(3c18)x219131876sinh(3c14)x21417176cosh(3c18)x+1417176cosh(3c14)x1417176sinh(3c18)x+1417176sinh(3c14)x+78732cosh(3c18)39366cosh(3c14)+78732sinh(3c18)39366sinh(3c14)39366)239366316223(9x1)(81cosh(3c18)x2+81sinh(3c18)x218cosh(3c18)x18sinh(3c18)x+cosh(3c18)+sinh(3c18)1)+13(9x1))11(x1)4}} Maple : cpu = 0.336 (sec), leaf count = 271

{y(x)=1((76x+28)648748(9x1)2_C1+10843046721(x1/9)2(32177147+(x1/9)2_C1)_C13+4((i(648748(9x1)2_C1+10843046721(x1/9)2(32177147+(x1/9)2_C1)_C1)2/316i)3(648748(9x1)2_C1+10843046721(x1/9)2(32177147+(x1/9)2_C1)_C1)2/316)(x+1/2))(8648748(9x1)2_C1+10843046721(x1/9)2(32177147+(x1/9)2_C1)_C13+(i(648748(9x1)2_C1+10843046721(x1/9)2(32177147+(x1/9)2_C1)_C1)2316i)3(648748(9x1)2_C1+10843046721(x1/9)2(32177147+(x1/9)2_C1)_C1)2316)1}