How to solve a single equation with 2 variables? Both of which are integers.

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sriram amarnath 2019-7-29

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/473864-how-to-solve-a-single-equation-with-2-variables-both-of-which-are-integers

回答： KSSV 2019-7-29

D=4.4010;
rowS=0.8613;
Lx=0.286;
Lz=0.198;
fnm=[134 266 408 481 785 863];
wnm=2*pi.*fnm;
wnm=sqrt(D/rowS).*((m.*pi./Lx).^2+(n.*pi./Lz).^2);

need to find m & n

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Answer 1

KSSV 2019-7-29

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/473864-how-to-solve-a-single-equation-with-2-variables-both-of-which-are-integers#answer_385185

在 MATLAB Online 中打开

D=4.4010;
rowS=0.8613;
Lx=0.286;
Lz=0.198;
fnm=[134 266 408 481 785 863];
wnm=2*pi.*fnm;
m = 1:10 ; n = 1:10 ; 
[m,n] = meshgrid(m,n) ; 
m = m(:) ; n = n(:) ; 
wnm1=sqrt(D/rowS).*((m.*pi./Lx).^2+(n.*pi./Lz).^2);
idx = knnsearch(wnm1,wnm')
[m(idx) n(idx) wnm' wnm1(idx)]