求解多元多次方程组

熊_二同学 |浏览358次
收藏|2019/01/31 07:10

满意回答

2019/01/31 07:39

令x =Q/(2512*N.^0.5*M.^0.5),则有:xe^(-16.81/N-3.0625/M) = 0.5325,-16.81/N-3.0625/M = ln0.5325 - lnx;①xe^(-17.64/N-3.24/M) = 0.4947,-17.64/N-3.24/M= ln0.4947 - lnx;②xe^(-18.49/N-2.25/M) =0.4346,-18.49/N-2.25/M = ln0.4346- lnx;③① - ②,0.83/N - 0.1775/M =ln( 0.5325/0.4947);④① - ③,1.68/N + 0.8125/M=ln( 0.5325/0.4346);⑤⑤ * 0.83 - ④ * 1.68, 0.376175/M = 0.83ln( 0.5325/0.4346) - 1.68ln( 0.5325/0.4947)M = 0.376175/[0.83ln( 0.5325/0.4346) - 1.68ln( 0.5325/0.4947)] =8.374434422643842381;代入4,0.83/N =ln( 0.5325/0.4947) +0.1775/M =0.224352291,N = 0.83/0.224352291 =3.6995387762234;lnx = ln0.5325 +16.81/N + 3.0625/M =4.27933360863541;x = e^4.27933360863541 =72.192315638543058832121;Q =(2512*N.^0.5*M.^0.5)x =1009397.3 。

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