The velocity components in a 2-D flow for an incompressible fluid are given by the equations

u= 2xy; $v=a^2+x^2+y^2$

The flow

satisfies irrotationality condition and the continuity equation

satisfies irrotationality condition but not the continuity equation

does not satisfy the irrotationality condition but satisfies the continuity equation

does not satisfy either the irrotationality condition or the continuity equation