Question

State and prove a necessary and sufficient condition that there exists between two functions u(x, y) and v(x, y) a relation F (u,v) = 0 , not involving x or y explicitly is that $\frac{\partial (u,v)}{\partial(x,y) } =0$

Answer 1

which class question is this??

Answer 2

Answer:

State and prove a necessary and sufficient condition that there exists between two functions u(x, y) and v(x, y) a relation F (u,v) = 0 , not involving x or y explicitly is that $\frac{\partial (u,v)}{\partial(x,y) } =0$