y=e^3x^2Çóµ¼

6x*exp(3x^2)exp()Ï൱ÓÚe^()2e^3x


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Çó΢·Ö·½³Ìy¡å+2y¡ä - 3y=e - 3xµÄͨ½â.

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ÇúÏß·½³Ì2y^2+3x=3yµÄͼÏñ - °Ù¶È¾­Ñé

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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

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3x 2 yÊǵ¥Ïîʽ,ËüµÄϵÊýÊÇ ´ÎÊýÊÇ .

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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 .


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(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 ...


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