The Wikibooks community is developing a policy on the use of generative AI. Please review the draft policy and provide feedback on its talk page.
( d y d x ) n + F 1 ( x , y ) ( d y d x ) n − 1 + . . . + F n − 1 ( x , y ) ( d y d x ) + F n ( x , y ) {\displaystyle ({dy \over dx})^{n}+F_{1}(x,y)({dy \over dx})^{n-1}+...+F_{n-1}(x,y)({dy \over dx})+F_{n}(x,y)}
理论上可以分解为
( d y d x − r 1 ( x , y ) ) ( d y d x − r 2 ( x , y ) ) . . . ( d y d x − r n ( x , y ) ) {\displaystyle ({dy \over dx}-r_{1}(x,y))({dy \over dx}-r_{2}(x,y))...({dy \over dx}-r_{n}(x,y))}
那么，每个因子的任何解都是整个方程的解。一般方程可以发现是解的乘积。
The Wikibooks community is developing a policy on the use of generative AI. Please review the draft policy and provide feedback on its talk page.