Question

The continuity equation is satisfied by *

u = A sin xy, v = - A sin xy

u = x + y. V = x - y

u = 2x2 + cy, v = 3y2

Ou = x + 2y, v = 2x + y.

Answer 1

The continuity equation is satisfied by

$\text{YES}~u = A \sin xy,~ v = - A \sin xy$

$\text{YES}~u = x + y,~v = x - y$

$\text{NO}~u = 2x^2 + cy, ~v = 3y^2$

$\text{YES}~u = x + 2y, ~v = 2x + y$