Given the velocity field u = xte1 + yte2 (where e1 and e2 are unit vectors in the x and y direction, respectively) determine how the density of the fluid varies with time. Assume the density is independent of spatial position and that ρ = ρo at t = 0
I know that I need to substitute u into the equation of continuity which is
ρo(∂s/∂t) + ∇*(ρo*û ) = 0 and solve for s but not really sure how to go about the derivation
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