Òþº¯ÊýÇóµ¼y'ºÍyy'¸ÃÈçºÎʹÓÃ?

¸ù¾Ý΢·ÖÔËËã·¨ÔòËã¾ÍÐÐÁËd(arctan(yx))=d(lnx2+y2)d(yx)1+(yx)2=d(x2+y2)x2+y2xdyydxx21+(yx)2=d(x2+y2)2x2+y2x2+y2xdyydxx2+y2=y2d(x2)+x2d(y2)2(x2+y2)xdyydx=2xy2dx+2x2ydy2xdydxy=2xy2+2x2ydydx2xy¡äy=xy2+x2yy¡äÁíÍ⣬¶ÔÓÚ¶ÔÊýÂÝÏßµÄÍÆµ¼£¬¿ÉÒÔʹÓü«×ø±ê¸üΪ·½±ãÇÒÍêÉÆ£¬²Î¿¼£º...


ÈçºÎ½â yy''=1?

yy'=1 µÄÒâ˼¾ÍÊÇ£¬ÓÐÕâôһ¸ö¹ØÓÚtµÄº¯ÊýËü½Ð×öy£¬ËüµÄ¶þ½×µ¼ÊýµÈÓÚ×ÔÉíµÄµ¹Êý£¬¼´ y''=1/y ÕâÀïÎÒÃÇÏÞ¶¨y²»µÈÓÚ0£¬»òÕß˵ÎÒÃÇÖ»¿¼ÂÇ...


Èç¹ûÔÚʾ²¨Æ÷ƫתµç¼«XX¡äºÍYY¡äÉ϶¼Ã»¼Óµçѹ,µç×ÓÊø´Ó½ðÊô...

ÓУº12mv20£½eU1£¬µÃv0£½2eU1mµç×ÓÔÚYY'ÄڵļÓËÙ¶ÈΪ£ºa=eUmd£¬µç×ÓÔÚYY'ÄÚÔ˶¯µÄʱ¼ä£ºt£½l1v0£½l1m2eU1ËùÒÔ£¬Æ«×ªÎ»ÒÆ£ºy£½12at2...


½ÌÄã×Ô¼ºÉè¼ÆYYƵµÀ - °Ù¶È¾­Ñé

²½Öè/·½·¨1ÏëÒªÉè¼Æ×Ô¼º×¨ÊôµÄyyƵµÀ,Ê×ÏÈÐèÒªÖªµÀÏÂÃæµÄ×Ö·û¡£ ÖÆ±í·ûºÅ:©°©Ð©´©À©à©È©¸©Ø©¼©°©¤©´©¦©¦©¸©¤©¼©¤©¥©¨©©©¬©­©¦©§©ª©«©®©¯©³...¡ç¡ê£¤©T¡á¡â%¡ë¨G¡ã¡æ¨H¡ä¡å¨“¡è¡ð f ¡é¡è€ ©P ©L...


΢·Ö·½³Ìyy'=xµÄͨ½âÊÇ?

ydy'/dx=k ydydy'/dx=kdy yy'dy'=kdy y'dy'=kdy/y (1/2)y'^2=klny+C ºóÃæ×Ô¼º½â°É,ÎÒ»ý·Ö¹«Ê½¶¼ÍüÁË¡­¡­ ¶÷¡­¡­ºÜÄÑ,ºÜ¿ÉÄÜ»ý²»³öÀ´¡­¡­ y'^2=2k...


ÔÚÈçͼ¼×ËùʾµÄʾ²¨¹ÜÖÐ,Èç¹ûÖ»ÔÚÆ«×ªµç¼«YY¡äÉϼÓ...

(1)µç×ÓÔÚYY'ÄÚ,×öÀàÆ½Å×Ô˶¯,ÓÉÅ£¶ÙµÚ¶þ¶¨ÂÉ,ÓÐ:a=qUdm¡­¢Ù¸ù¾ÝÀàËÆÆ½Å×Ô˶¯µÄ·ÖÔ˶¯¹«Ê½,ÓÐ:vx=v0¡­¢Úvy=at¡­¢ÛL1=v0t¡­¢Ütan¦Õ=vyv0¡­¢ÝÁªÁ¢¢Ú¢Û¢Ü¢Ý½â...


¡¢¡ä¡ä ,¡ä.m.zz

Ö¤Ã÷£º¡ßXX¡ä£¬YY¡ä·Ö±ðÊÇ¡÷ABCµÄBC±ßÓëAC±ßµÄÖд¹Ïߣ¬ ¡àXX¡ä£¬YY¡ä±ØÏཻÓÚÒ»µã£¬ÉèΪO£¨·ñÔò£¬XX¡ä¡ÎYY¡ä£¬ÄÇô¡ÏC±ØµÈÓÚ180¡ã£¬ÕâÊDz»¿ÉÄܵģ©£® ¡ßOB=...


...µ±Á½Æ«×ª¼«XX¡ä¡¢YY¡äµçѹΪÁãʱ,µç×Óǹ·¢Éä³öµÄµç×Ó¾­...

×öÔÈËÙÖ±ÏßÔ˶¯£»´òÔÚµÚÈýÏóÏÞ£¬¹Ê¾­¹ýYY¡äÇø¼äʱµç³¡Á¦ÏòÏ£¬¼´Y½Ó¸º¼«£»´òÔÚµÚÈýÏóÏÞ£¬¹Ê¾­¹ýXX¡äÇø¼äʱµç³¡Á¦Í⣬¼´X½Ó¸º¼«£»¹ÊÑ¡D£®


ʾ²¨¹ÜµÄ½á¹¹ÖÐÓÐÁ½¶Ô»¥Ïà´¹Ö±µÄƫתµç¼«XX¡äºÍYY...

Òò¼×ͼXX¡äƫתµç¼«½ÓÈëµÄÊǾâ³ÝÐεçѹ£¬¼´É¨Ãèµçѹ£¬ÇÒÖÜÆÚÓëYY¡äƫתµçѹÉϼӵÄÊÇ´ýÏÔʾµÄÐźŵçѹÏàͬ£¬ËùÒÔÔÚÓ«¹âÆÁÉϵõ½µÄÐźÅÔÚÒ»¸öÖÜÆÚÄÚµÄÎȶ¨Í¼Ïó£®ÔòÏÔʾµÄ...


y¡ä - yy¡ä¡ä=1ͨ½â?

(y')^2-yy''=1 d/dx ( yy') =1 yy' = x + C1'y dy =( x+ C1') dx (1/2)y^2 = (1/2)x^2 + C1'.x + C2'y^2 = x^2 + C1.x +...


Ïà¹ØËÑË÷

ÈÈÃÅËÑË÷