y e 3x 2
y=e^3x^2Çóµ¼
6x*exp(3x^2)exp()Ï൱ÓÚe^()2e^3x
ÅжÏy=e^3x 2ÊÇ·ñÒ»Ò»¶ÔÓ¦,ÈôÊÇ,ÇóÆä·´º¯Êý
Ï£Íû¶ÔÄãÓаïÖú£¬Çë²ÉÄÉ
Çó΢·Ö·½³Ìy¡å+2y¡ä - 3y=e - 3xµÄͨ½â.
½â´ð:½â:΢·Ö·½³Ìy¡å+2y¡ä-3y=e-3x¶ÔÓ¦µÄÆë´Î΢·Ö·½³ÌΪ:y¡å+2y¡ä-3y=0,ÌØÕ÷·½³ÌΪt2+2t-3=0,¼´:(t-1)(t+3)=0,½âµÃ:t1=1,t2=-3,ËùÒÔ,Æë´Î΢·Ö·½³ÌΪ...
ÇúÏß·½³Ì2y^2+3x=3yµÄͼÏñ - °Ù¶È¾Ñé
1 °Ñº¯Êý¿´×ö³ÉyµÄ¶þ´Îº¯Êý£¬ÀûÓÃÅбðʽÇó½âº¯ÊýµÄ¶¨Òåȡֵ·¶Î§¡£2.º¯ÊýµÄµ¥µ÷ÐÔ 1 ͨ¹ýÒ»½×µ¼Êý£¬µÃº¯ÊýµÄפµã£¬½ø¶øÅжϺ¯ÊýµÄµ¥µ÷ÐÔ£¬Çó³öµ¥µ÷Çø...
YµÈÓÚe3xµÄµ¼ÊýΪ
y=e^3xy'=(e^3x)' =e^3x *(3x)' =3e^3x
Çóµ¼Êý:y=e^3x^2
y'=6xe^3x^2
Çóy=eµÄ3x+2´Î·½µÄµ¼Êý
¸´ºÏº¯ÊýÇóµ¼£¬eµÄ3x+2´Î·½Çóµ¼ÎªeµÄ3x+2´Î·½ÔÙ³ËÒÔ3£¬ÒòΪ3x+2Ç󵼺ó»áÓÐÒ»¸ö3 y
3x 2 yÊǵ¥Ïîʽ,ËüµÄϵÊýÊÇ ´ÎÊýÊÇ .
3,3·Ö Îö:ÓÉÓÚµ¥ÏîʽÖÐÊý×ÖÒòÊý½Ð×öµ¥ÏîʽµÄϵÊý,ËùÓÐ×ÖĸµÄÖ¸ÊýºÍÊǵ¥ÏîʽµÄ´ÎÊý,Óɴ˼´¿ÉÇó½â.3x2yÊǵ¥Ïîʽ,ËüµÄϵÊýÊÇ3,´ÎÊýÊÇ3.¹Ê´ð°¸Îª3,3.µãÆÀ:È·¶¨µ¥ÏîʽµÄϵÊý...
½â¶þÔªÒ»´Î·½³Ì×é: 3x+2y=19 2x - y=1 .
3x+2y=19¢Ù 2x-y=1¢Ú ,ÓÉ¢ÚµÃ:y=2x-1¢Û°Ñ¢Û´úÈë¢ÙµÃ:3x+4x-2=19,½âµÃ:x=3,°Ñx=3´úÈë¢ÛµÃ:y=2¡Á3-1,¼´y=5¹Ê´Ë·½³Ì×éµÄ½âΪ x=3 y=5 .
½âһ϶þ½×µ¼Êý
(1)y=e^3x y'=e^3x¡Á(3x)'y'=3e^3x y''=3e^3x¡Á(3x)'y''=9e^3x (2)y=xsinx y'=x(sinx)'+x'sinx y'=xcosx+sinx ...