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ÔÚÍøÉÏËѵ½ÕâÑùÒ»¸öÀý×Ó£º Á·Ï°£² Çóº¯Êýz=xy ÔÚÌõ¼þ x+y=1ϵļ«Öµ..¹¹ÔìLagrangeº¯Êý L(x,y)=xy+k(x+y-1) ÇóLagrangeº¯ÊýµÄ×ÔÓɼ«Öµ.ÏÈÇó ¹ØÓÚ µÄÒ»½×Æ«µ¼Êý >>clear; syms x y k >>l=x*y+k*(x+y-1); >>diff(l,x) >>diff(l,y) >>diff(l,k) µÃ ÔÙ½âÕý¹æ·½³Ì >>clear; syms x y k >>[x,y,k]=solve('y+k=0','x+k=0','x+y-1=0','x','y','k') µÃ ½ø¹ýÅжÏ,´ËµãΪº¯ÊýµÄ¼«´óÖµµã,´Ëʱº¯Êý´ïµ½×î´óÖµ. ÎÒµÄÎÊÌâÊÇÄܲ»ÄÜÔÚmatlab µÄsolveº¯ÊýÖÐÖ±½Óµ÷ÓÃdiffº¯Êý£¬±ÈÈçÕâÑùsolve('diff(l,x)=0','diff(l,y)=0','diff(l,k)=0','x','y','k') µ«ÊÇÕâÑù£¬³ÌÐò»á±¨´í£¬²»Öª¸ÃÔõÑù½â¾ö¡£ Warning: Could not extract individual solutions. Returning a MuPAD set object. > In solve>assignOutputs at 219 In solve at 193 x = solvelib::cartesianPower(C_, 3) y = [] k = [] >> |
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