²é¿´: 650  |  »Ø¸´: 4

Nordictokyo

Í­³æ (СÓÐÃûÆø)

[ÇóÖú] ÇóÖúÒ»¸ö΢·Ö·½³ÌµÄ½â¡£ ÒÑÓÐ2È˲ÎÓë

·½³ÌÈ磬
y' = a y2 + b y + c
(a, b, cΪ3¸ö³£Êý£¬×ó±ßΪyµÄ΢·Ö£¬ÓұߵÚÒ»ÏîΪyµÄƽ·½£¬µÚ¶þÏîΪyµÄÒ»´Î·½)
ÁíÍ⣬ÒÑÖª±ß½çÌõ¼þÊÇ£¬x=0ʱ£¬y=d¡£
ÇóÖú´Ë·½³Ìͨ½â¡£ÖÂл£¡£¡
Èç¹ûÄܸ½ÉϽâ´ð¹ý³Ì¸üºÃ¡£
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

» ±¾Ö÷ÌâÏà¹Ø¼ÛÖµÌùÍÆ¼ö£¬¶ÔÄúͬÑùÓаïÖú:

ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

ontheway9988

Ìú³æ (СÓÐÃûÆø)

Óз½·¨Á˸æËßÎÒÒ»ÏÂ
2Â¥2014-06-13 11:11:52
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

peterflyer

ľ³æÖ®Íõ (ÎÄѧ̩¶·)

peterflyer


¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï
¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
Nordictokyo(feixiaolin´ú·¢): ½ð±Ò+8 2014-06-15 10:14:25
dy/{[(y+b/(2*a)]^2+c/a-[b/(2*a)]^2}=a*dx    ( a¡Ù0)
ÒÔÏÂÒª·Ö±ð½øÐÐÌÖÂÛ£º
(1) c/a-[b/(2*a)]^2=0
        d{-1/[y+b/(2*a)]}=d(Const + a*x)
         y= --b/(2*a) --1/[Const + a*x]
         ÒÑÖª±ß½çÌõ¼þÊÇ£¬x=0ʱ£¬y=d
         Const=--2*a/[2*a*d + b]
        y= --b/(2*a) --1/[a*x-2*a/(2*a*d + b)]
(2)  c/a-[b/(2*a)]^2¡Ý0
      Áîm^2= c/a-[b/(2*a)]^2
    dy/{[(y+b/(2*a)]^2+c/a-[b/(2*a)]^2}
     =dy/{[(y+b/(2*a)]^2+m^2}
     =1/m*d{Arctg{[y+b/(2*a)]/m}}
     Arctg{[y+b/(2*a)]/m}/m= a*x + Const
       ÒÑÖª±ß½çÌõ¼þÊÇ£¬x=0ʱ£¬y=d
      Const=Arctg{[d+b/(2*a)]/m}/m
(3)  c/a-[b/(2*a)]^2<0
       Áîm^2=- c/a + [b/(2*a)]^2
       dy/{[(y+b/(2*a)]^2+c/a-[b/(2*a)]^2}
        =dy/{[(y+b/(2*a)]^2--m^2}
        =1/(2*m)*d{Ln{[y+b/(2*a)]--m}/{[y+b/(2*a)]+m}}
     1/(2*m)*{Ln{[y+b/(2*a)]--m}/{[y+b/(2*a)]+m}}=Const+a*x
      ÒÑÖª±ß½çÌõ¼þÊÇ£¬x=0ʱ£¬y=d
         Const=1/(2*m)*{Ln{[d+b/(2*a)]--m}/{[d+b/(2*a)]+m}}

» ±¾ÌûÒÑ»ñµÃµÄºì»¨£¨×îÐÂ10¶ä£©

3Â¥2014-06-14 09:54:04
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

Nordictokyo

Í­³æ (СÓÐÃûÆø)

Ëͺ컨һ¶ä
ÒýÓûØÌû:
3Â¥: Originally posted by peterflyer at 2014-06-14 10:54:04
dy/{^2+c/a-^2}=a*dx    ( a¡Ù0)
ÒÔÏÂÒª·Ö±ð½øÐÐÌÖÂÛ£º
(1) c/a-^2=0
        d{-1/}=d(Const + a*x)
         y= --b/(2*a) --1/
         ÒÑÖª±ß½çÌõ¼þÊÇ£¬x=0ʱ£¬y=d
         Const=--2*a/
        y= - ...

Å££¡Ð»Ð»£¡
ÉÔ»á¶ùÔÙÀ´Ïêϸ½â¶ÁÏÂ
4Â¥2014-06-16 08:10:33
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

ayismas

ľ³æ (ÕýʽдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï
Nordictokyo: ½ð±Ò+2, ¡ï¡ï¡ïºÜÓаïÖú, ·Ç³£¸Ðл£¡ 2014-06-18 18:08:02
´ð°¸ÈçͼËùʾ£¬Â¥Ö÷Çë²éÊÕ£¡

×îºóµÄ»¯¼òÂ¥Ö÷×Ô¼º×ö°É
5Â¥2014-06-17 18:37:08
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ Nordictokyo µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] ʳƷר˶ һ־Ը˫һÁ÷ 328 +3 xiaom99 2026-03-21 4/200 2026-03-24 21:20 by lailaisimei
[¿¼ÑÐ] ²ÄÁÏÓ뻯¹¤¿¼Ñе÷¼Á +7 ‹üÈA 2026-03-22 7/350 2026-03-24 21:04 by greychen00
[¿¼ÑÐ] 0703»¯Ñ§µ÷¼Á£¬Çóµ¼Ê¦ÊÕ +7 ÌìÌìºÃÔËÀ´Éϰ¶° 2026-03-24 7/350 2026-03-24 20:26 by peike
[¿¼ÑÐ] µ÷¼Á +4 13853210211 2026-03-24 4/200 2026-03-24 19:44 by ms629
[¿¼ÑÐ] Ò»Ö¾Ô¸±±»¯315 Çóµ÷¼Á +3 akrrain 2026-03-24 3/150 2026-03-24 19:35 by ÁËÁËÁËÁË¡£¡£
[¿¼ÑÐ] 274Çóµ÷¼Á +5 ¹Ë¾ÅóÏҪǫÐé 2026-03-24 5/250 2026-03-24 18:43 by jhhcooi
[¿¼ÑÐ] 306Çó0703µ÷¼ÁÒ»Ö¾Ô¸»ªÖÐʦ·¶ +10 Ö½Óãly 2026-03-21 11/550 2026-03-24 17:22 by qingfeng258
[¿¼ÑÐ] ²ÄÁÏѧ˶£¬Çóµ÷¼Á 6+3 ÌǺù«888ll 2026-03-22 7/350 2026-03-24 17:11 by helloÆßÆß
[¿¼ÑÐ] Çóµ÷¼Á +6 ÑÐÑУ¬½Óµç»° 2026-03-24 7/350 2026-03-24 17:01 by barlinike
[¿¼ÑÐ] Ò»Ö¾Ô¸±±¾©»¯¹¤´óѧ²ÄÁÏÓ뻯¹¤ 264·Ö¸÷¿Æ¹ýAÇø¹ú¼ÒÏß +3 ¹þ¹þ157349 2026-03-21 3/150 2026-03-24 14:11 by zhyzzh
[¿¼ÑÐ] ²ÄÁÏר˶ӢһÊý¶þ306 +8 z1z2z3879 2026-03-18 8/400 2026-03-23 20:49 by baobaoye
[¿¼ÑÐ] 316Çóµ÷¼Á +7 ÁºÜçö© 2026-03-19 7/350 2026-03-23 16:21 by lingjue
[¿¼ÑÐ] 289²ÄÁÏÓ뻯¹¤£¨085600£©BÇøÇóµ÷¼Á +3 ÕâôÃû×ÖÕ¦Ñù 2026-03-22 4/200 2026-03-22 17:56 by ÔÆÃñ´óÀîÀÏʦ
[¿¼ÑÐ] 269ר˶Çóµ÷¼Á +6 ½ð¶÷±´ 2026-03-21 6/300 2026-03-22 14:31 by ColorlessPI
[¿¼ÑÐ] ¿¼Ñе÷¼Á +3 ºôºô£¿~+123456 2026-03-21 3/150 2026-03-21 20:04 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] Ò»Ö¾Ô¸¶«»ª´óѧ¿ØÖÆÑ§Ë¶320Çóµ÷¼Á +3 Grand777 2026-03-21 3/150 2026-03-21 19:23 by ¼òÖ®-
[¿¼ÑÐ] 299Çóµ÷¼Á +5 shxchem 2026-03-20 7/350 2026-03-21 17:09 by ColorlessPI
[¿¼ÑÐ] 22408 344·Ö Çóµ÷¼Á Ò»Ö¾Ô¸ »ªµç¼ÆËã»ú¼¼Êõ +4 solanXXX 2026-03-20 4/200 2026-03-20 23:49 by alg094825
[¿¼ÑÐ] 317Çóµ÷¼Á +5 Éê×ÓÉêÉê 2026-03-19 9/450 2026-03-20 22:26 by JourneyLucky
[¿¼ÑÐ] Çóµ÷¼Á +3 @taotao 2026-03-20 3/150 2026-03-20 19:35 by JourneyLucky
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û