xdyºÍydx¸÷×ÔʲôÒâ˼?ÊÇÇóÃæ»ýÂð?Á½¸öÏàµÈÂð?

Á½ÕßÍêÈ«²»Í¬ ´íÁË£¬Ã÷ÏÔËûÃDz»ÏàµÈµÄ¡£Õâ¸öÊǹØÏµµ½Î¢»ý·ÖµÄ¸ÅÄîÀí½â¡£xdyÊǶÔ×Ô±äÁ¿y×ö΢·Ö£¬ydxÊǶÔx×ö΢·Ö


´óÒ»¸ßÊý΢·ÖÄǽÚxdyºÍydx¶¼±íʾʲôÒâ˼

ÔÚ´óÒ»µÄ¸ßµÈÊýѧ΢·ÖѧÖУ¬xdyºÍydx¶¼ÊÇ΢·Ö¼ÇºÅ£¬±íʾ΢·Ö£¨differential£©µÄÒâ˼¡£¾ßÌåÀ´Ëµ£¬xdy±íʾ×Ô±äÁ¿xµÄ΢·Ö³ËÒÔÒò±äÁ¿y£¬±íʾ×Ô±äÁ¿xµÄ΢С±ä»¯ÒýÆðµÄÒò±äÁ¿yµÄ΢...


ΪʲôxyµÄ΢·ÖÊÇydx+xdyºóÃæ¿´²»¶®?

ͨ¹ýÕâÖÖÀí½â·½Ê½£¬ÎÒÃÇ·¢ÏÖxdyºÍydx¹²Í¬¹¹³ÉÁËxyµÄ΢С±ä»¯Á¿¡£ËüÃÇ´ú±íÁËxºÍy¸÷×Ա仯µ¼ÖÂxy±ä»¯µÄ·ÖÁ¿¡£ÕâÖÖ·ÖÎö·½·¨ÔÚ΢»ý·ÖÖзdz£³£¼û£¬ÌرðÊÇÔÚÌÖÂÛ¸´ºÏº¯Êý»òÓ¦ÓÃ΢·Ö...


ydx+xdy=2dxy?

ydx+xdy=2dxy?Èç¹ûx¡¢y¡¢dÊÇÈý¸öÏà¶Ô¶ÀÁ¢µÄ±äÁ¿£¬ÄÇôydx+xdy=2dxyÊdzÉÁ¢µÄ µ«Èç¹û´Ó΢»ý·ÖµÄ½Ç¶ÈÀ´Ï룬ÌâÖ÷ÓÐÒ»¸öºÜ´óµÄ´íÎó:ydx¡Ùdxy...


΢·Ö·½³Ìxdy - ydx=y^2dyµÄͨ½â

Óиö¼òµ¥µÄ½â·¨:xdy-ydx=y^2dy±äÐÎ:(xdy-ydx)/y^2=dyÓÉÓÚ:d(x/y)=(ydx-xdy)/y^2¹Ê:d(x/y)=-dyͨ½âΪ:x/y=-y+C»ò:x=y(C-y)


ȫ΢·ÖÀïdxyÊÇÔõô»¯³Éxdy+ydx

ȫ΢·ÖÖеÄdxyÊÇͨ¹ý³Ë»ýµÄ΢·Ö·¨Ôò»¯¼òΪxdy+ydxµÄ¡£Ïêϸ½âÊÍÈçÏ£ºÔÚȫ΢·ÖÖУ¬ÎÒÃǾ­³£»áÓöµ½ÐÎÈçdµÄ±í´ïʽ£¬Õâ±íʾº¯ÊýxºÍyµÄ³Ë»ýµÄ΢·Ö¡£ÎªÁËÇó½âÕâÑùµÄ±í´ïʽ£¬ÎÒÃÇ...


ȫ΢·Öd(xy)=xdy +ydx ÖÐyÒ»¶¨ÒªÊǹØÓÚxµÄº¯ÊýÂð...

µ±È»ÌÖÂÛÒ»ÏÂÒ²ÎÞ·Á£¬Éèy=y(x)£ºÄÇôdy=y¡ädx£¬´Ëʱȫ΢·Ö¾ÍÓÖ¿ÉÒÔдΪ£ºd(xy)=xdy+ydx=xy¡ädx+ydx=(xy¡ä+y)dx²»Ò»¶¨£¬ÒòΪȫ΢·Ö...


Ϊʲôydx+xdy¡Ù2dxy?

Ϊʲôydx+xdy¡Ù2dxy£¿Ð»Ñû ÒòΪ¿ÉÄÜ´æÔÚyºÍxÖ®¼äµÄº¯Êý¹ØÏµÊ½¡£ÄãÕâÑù´¦Àíʵ¼ÊÉÏÊǰÑxy×÷ΪÁ½¸öÎ޹رäÁ¿¡£Èô´æÔÚyµÈÓÚxµÄƽ·½µÄº¯Êý¹ØÏµÊ½£¬...


dx+dy=d(x+y)ÊÇʲôԭÀí?»¹ÓÐxdy+ydx=dxyµÈ,·ÖÎöÏÂ...

dx+dy=d(x+y),±íʾ¶ÔxºÍyµÄ΢·ÖÖ®ºÍµÈÓÚ¶Ôx,yºÍµÄ΢·Ödxy=xdy+ydx,±íʾ·Ö²½Çóµ¼ ½âÎö¿´²»¶®?Ãâ·Ñ²é¿´Í¬ÀàÌâÊÓÆµ½âÎö²é¿´


Ïà¹ØËÑË÷

ÈÈÃÅËÑË÷