2.966   ODE No. 966

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

y(x)=1296y(x)216x3216x2y(x)4324x2y(x)3648x2y(x)2648x2y(x)+216x28y(x)1236y(x)11126y(x)10315y(x)9+72xy(x)8570y(x)8+216xy(x)7846y(x)7+594xy(x)6882y(x)6+1080xy(x)5612y(x)5+1152xy(x)41944y(x)4+1080xy(x)31728y(x)3+216xy(x)22376y(x)2432xy(x)1296y(x)+216 Mathematica : cpu = 0.738537 (sec), leaf count = 292

Solve[72RootSum[216#13+216#12y(x)4+324#12y(x)3+648#12y(x)2+648#12y(x)216#1272#1y(x)8216#1y(x)7594#1y(x)61080#1y(x)51152#1y(x)41080#1y(x)3216#1y(x)2+432#1y(x)+8y(x)12+36y(x)11+126y(x)10+315y(x)9+570y(x)8+846y(x)7+882y(x)6+612y(x)5+216y(x)4216y(x)3216y(x)2216&,log(x#1)36#1224#1y(x)436#1y(x)372#1y(x)272#1y(x)+24#1+4y(x)8+12y(x)7+33y(x)6+60y(x)5+64y(x)4+60y(x)3+12y(x)224y(x)&]+log(y(x))=c1,y(x)] Maple : cpu = 0.523 (sec), leaf count = 50

{y(x)=eRootOf(_Z6x1/3(e_Z)41/2(e_Z)3(e_Z)2e_Z(_a3+_a2+1)1d_a+_C1)}