Exact Differential Equations - Home - Florida International University - FIU
1) Assume M(x,y) dx +N(x,y) dy = 0 is exact in D, then, M(x,y) dx +N(x,y) dy is an exact differential form in D, then, there exists a function F(x,y) defined on D, such that dF = M(x,y) dx +N(x,y) dy, then, !F!x (x,y)=M(x,y)!!and!!!F!y (x,y)=N(x,y) in D, ...