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y′(x)=−1296y(x)216x3−216x2y(x)4−324x2y(x)3−648x2y(x)2−648x2y(x)+216x2−8y(x)12−36y(x)11−126y(x)10−315y(x)9+72xy(x)8−570y(x)8+216xy(x)7−846y(x)7+594xy(x)6−882y(x)6+1080xy(x)5−612y(x)5+1152xy(x)4−1944y(x)4+1080xy(x)3−1728y(x)3+216xy(x)2−2376y(x)2−432xy(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#12−72#1y(x)8−216#1y(x)7−594#1y(x)6−1080#1y(x)5−1152#1y(x)4−1080#1y(x)3−216#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)4−216y(x)3−216y(x)2−216&,log(x−#1)36#12−24#1y(x)4−36#1y(x)3−72#1y(x)2−72#1y(x)+24#1+4y(x)8+12y(x)7+33y(x)6+60y(x)5+64y(x)4+60y(x)3+12y(x)2−24y(x)&]+log(y(x))=c1,y(x)] ✓ Maple : cpu = 0.523 (sec), leaf count = 50
{y(x)=eRootOf(−_Z−6∫x−1/3(e_Z)4−1/2(e_Z)3−(e_Z)2−e_Z(_a3+_a2+1)−1d_a+_C1)}
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