åå¦å½æ°F(xï¼y)=0è½ç¡®å®ä¸ä¸ªéå½æ°y=f(x)ï¼é£ä¹ä»F(xï¼y)=0ä¸è§£åºy=f(x)å代å
¥F(xï¼y)=0
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ç¶å¾ä¸ä¸ªæçå¼F(xï¼f(x))â¡0ï¼å°æ¤æçå¼ç两边对xæ±å¯¼ï¼æ³¨æå
¶ä¸f(x)å³yæ¯xçå½æ°ï¼å æ¤å¯¹xæ±å¯¼æ¶è¦æf(x)ï¼ä¹å°±æ¯æyçä½ä¸é´åéï¼å¯¹å®è¦ç¨å¤åå½æ°çæ±å¯¼æ¹æ³ï¼F (xï¼y)=0ï¼y=f(x):
å³æ ∂F/∂x+(∂F/∂y)(dy/dx)=0ï¼äºæ¯å¾dy/dx=-(∂F/∂x)/(∂F/∂y).
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