3.286   ODE No. 286

(2y(x)3x+1)2ddxy(x)(3y(x)2x4)2=0

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

Mathematica: cpu = 0.183523 (sec), leaf count = 3501 {{y(x)Root[1024x10+38400x9+506880x8+2246400x75261760x650349600x5+71033760x4+409406400x31247114880x2+295245c15x+1275458400x+1024#110+(1920021760x)#19+(190080x2288000x+74880)#18+(873120x3+1504800x284960x496800)#17+(2235540x42559600x36300360x2+9795600x2953260)#16+177147c15+(3122577x53208725x4+35619030x343079850x2+6246315x+7174575)#15+(2235540x6+14206950x555677150x42902500x3+155568600x2154390050x+39869010)#14+(873120x711592000x63051720x5+219051000x4473785200x3+276922800x2+85118040x90541800)#13+(190080x8+3988800x7+17972640x670534800x5266036400x4+1264183200x31778293440x2+1015642800x184232880)#12+(21760x9633600x85592960x74838400x6+114715440x5+45586800x41246764960x3+2598156000x22139935760x295245c15+637729200)#1459165024&,1]},{y(x)Root[1024x10+38400x9+506880x8+2246400x75261760x650349600x5+71033760x4+409406400x31247114880x2+295245c15x+1275458400x+1024#110+(1920021760x)#19+(190080x2288000x+74880)#18+(873120x3+1504800x284960x496800)#17+(2235540x42559600x36300360x2+9795600x2953260)#16+177147c15+(3122577x53208725x4+35619030x343079850x2+6246315x+7174575)#15+(2235540x6+14206950x555677150x42902500x3+155568600x2154390050x+39869010)#14+(873120x711592000x63051720x5+219051000x4473785200x3+276922800x2+85118040x90541800)#13+(190080x8+3988800x7+17972640x670534800x5266036400x4+1264183200x31778293440x2+1015642800x184232880)#12+(21760x9633600x85592960x74838400x6+114715440x5+45586800x41246764960x3+2598156000x22139935760x295245c15+637729200)#1459165024&,2]},{y(x)Root[1024x10+38400x9+506880x8+2246400x75261760x650349600x5+71033760x4+409406400x31247114880x2+295245c15x+1275458400x+1024#110+(1920021760x)#19+(190080x2288000x+74880)#18+(873120x3+1504800x284960x496800)#17+(2235540x42559600x36300360x2+9795600x2953260)#16+177147c15+(3122577x53208725x4+35619030x343079850x2+6246315x+7174575)#15+(2235540x6+14206950x555677150x42902500x3+155568600x2154390050x+39869010)#14+(873120x711592000x63051720x5+219051000x4473785200x3+276922800x2+85118040x90541800)#13+(190080x8+3988800x7+17972640x670534800x5266036400x4+1264183200x31778293440x2+1015642800x184232880)#12+(21760x9633600x85592960x74838400x6+114715440x5+45586800x41246764960x3+2598156000x22139935760x295245c15+637729200)#1459165024&,3]},{y(x)Root[1024x10+38400x9+506880x8+2246400x75261760x650349600x5+71033760x4+409406400x31247114880x2+295245c15x+1275458400x+1024#110+(1920021760x)#19+(190080x2288000x+74880)#18+(873120x3+1504800x284960x496800)#17+(2235540x42559600x36300360x2+9795600x2953260)#16+177147c15+(3122577x53208725x4+35619030x343079850x2+6246315x+7174575)#15+(2235540x6+14206950x555677150x42902500x3+155568600x2154390050x+39869010)#14+(873120x711592000x63051720x5+219051000x4473785200x3+276922800x2+85118040x90541800)#13+(190080x8+3988800x7+17972640x670534800x5266036400x4+1264183200x31778293440x2+1015642800x184232880)#12+(21760x9633600x85592960x74838400x6+114715440x5+45586800x41246764960x3+2598156000x22139935760x295245c15+637729200)#1459165024&,4]},{y(x)Root[1024x10+38400x9+506880x8+2246400x75261760x650349600x5+71033760x4+409406400x31247114880x2+295245c15x+1275458400x+1024#110+(1920021760x)#19+(190080x2288000x+74880)#18+(873120x3+1504800x284960x496800)#17+(2235540x42559600x36300360x2+9795600x2953260)#16+177147c15+(3122577x53208725x4+35619030x343079850x2+6246315x+7174575)#15+(2235540x6+14206950x555677150x42902500x3+155568600x2154390050x+39869010)#14+(873120x711592000x63051720x5+219051000x4473785200x3+276922800x2+85118040x90541800)#13+(190080x8+3988800x7+17972640x670534800x5266036400x4+1264183200x31778293440x2+1015642800x184232880)#12+(21760x9633600x85592960x74838400x6+114715440x5+45586800x41246764960x3+2598156000x22139935760x295245c15+637729200)#1459165024&,5]},{y(x)Root[1024x10+38400x9+506880x8+2246400x75261760x650349600x5+71033760x4+409406400x31247114880x2+295245c15x+1275458400x+1024#110+(1920021760x)#19+(190080x2288000x+74880)#18+(873120x3+1504800x284960x496800)#17+(2235540x42559600x36300360x2+9795600x2953260)#16+177147c15+(3122577x53208725x4+35619030x343079850x2+6246315x+7174575)#15+(2235540x6+14206950x555677150x42902500x3+155568600x2154390050x+39869010)#14+(873120x711592000x63051720x5+219051000x4473785200x3+276922800x2+85118040x90541800)#13+(190080x8+3988800x7+17972640x670534800x5266036400x4+1264183200x31778293440x2+1015642800x184232880)#12+(21760x9633600x85592960x74838400x6+114715440x5+45586800x41246764960x3+2598156000x22139935760x295245c15+637729200)#1459165024&,6]},{y(x)Root[1024x10+38400x9+506880x8+2246400x75261760x650349600x5+71033760x4+409406400x31247114880x2+295245c15x+1275458400x+1024#110+(1920021760x)#19+(190080x2288000x+74880)#18+(873120x3+1504800x284960x496800)#17+(2235540x42559600x36300360x2+9795600x2953260)#16+177147c15+(3122577x53208725x4+35619030x343079850x2+6246315x+7174575)#15+(2235540x6+14206950x555677150x42902500x3+155568600x2154390050x+39869010)#14+(873120x711592000x63051720x5+219051000x4473785200x3+276922800x2+85118040x90541800)#13+(190080x8+3988800x7+17972640x670534800x5266036400x4+1264183200x31778293440x2+1015642800x184232880)#12+(21760x9633600x85592960x74838400x6+114715440x5+45586800x41246764960x3+2598156000x22139935760x295245c15+637729200)#1459165024&,7]},{y(x)Root[1024x10+38400x9+506880x8+2246400x75261760x650349600x5+71033760x4+409406400x31247114880x2+295245c15x+1275458400x+1024#110+(1920021760x)#19+(190080x2288000x+74880)#18+(873120x3+1504800x284960x496800)#17+(2235540x42559600x36300360x2+9795600x2953260)#16+177147c15+(3122577x53208725x4+35619030x343079850x2+6246315x+7174575)#15+(2235540x6+14206950x555677150x42902500x3+155568600x2154390050x+39869010)#14+(873120x711592000x63051720x5+219051000x4473785200x3+276922800x2+85118040x90541800)#13+(190080x8+3988800x7+17972640x670534800x5266036400x4+1264183200x31778293440x2+1015642800x184232880)#12+(21760x9633600x85592960x74838400x6+114715440x5+45586800x41246764960x3+2598156000x22139935760x295245c15+637729200)#1459165024&,8]},{y(x)Root[1024x10+38400x9+506880x8+2246400x75261760x650349600x5+71033760x4+409406400x31247114880x2+295245c15x+1275458400x+1024#110+(1920021760x)#19+(190080x2288000x+74880)#18+(873120x3+1504800x284960x496800)#17+(2235540x42559600x36300360x2+9795600x2953260)#16+177147c15+(3122577x53208725x4+35619030x343079850x2+6246315x+7174575)#15+(2235540x6+14206950x555677150x42902500x3+155568600x2154390050x+39869010)#14+(873120x711592000x63051720x5+219051000x4473785200x3+276922800x2+85118040x90541800)#13+(190080x8+3988800x7+17972640x670534800x5266036400x4+1264183200x31778293440x2+1015642800x184232880)#12+(21760x9633600x85592960x74838400x6+114715440x5+45586800x41246764960x3+2598156000x22139935760x295245c15+637729200)#1459165024&,9]},{y(x)Root[1024x10+38400x9+506880x8+2246400x75261760x650349600x5+71033760x4+409406400x31247114880x2+295245c15x+1275458400x+1024#110+(1920021760x)#19+(190080x2288000x+74880)#18+(873120x3+1504800x284960x496800)#17+(2235540x42559600x36300360x2+9795600x2953260)#16+177147c15+(3122577x53208725x4+35619030x343079850x2+6246315x+7174575)#15+(2235540x6+14206950x555677150x42902500x3+155568600x2154390050x+39869010)#14+(873120x711592000x63051720x5+219051000x4473785200x3+276922800x2+85118040x90541800)#13+(190080x8+3988800x7+17972640x670534800x5266036400x4+1264183200x31778293440x2+1015642800x184232880)#12+(21760x9633600x85592960x74838400x6+114715440x5+45586800x41246764960x3+2598156000x22139935760x295245c15+637729200)#1459165024&,10]}}

Maple: cpu = 0 (sec), leaf count = 0 hanged