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"
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