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**1. Show that, if the velocity field (V) is a fixed (spatially constant) vector, then the characteristic curves will be a family of parallel-straight lines.**

**2. u**

_{t}+V_{1}u_{x}+V_{2}u_{y}=ff=S-[dell dotted with V]u

characteristic curves:

dX/dt=V

_{1}(X,Y) & dY/dt=V

_{2}(X,Y)

**3. really looking for help on how to get started on this. any suggestions would be appreciated.**