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[ÇóÖú] solveº¯Êýµ÷ÓÃdiffº¯Êý

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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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