Show that E is independent of t (Conservation of energy)
Chapter 14, Problem 30(choose chapter or problem)
Show that E is independent of t (Conservation of energy) [Hint: Let q = 1 2u2 + 1 2w2 + p+gz. Show that (3) can be written asu t +qx =w, wt +qz = u. Deduce that 1 2u2 + 1 2w2 +gzt +(uq)x +(wq)z =0.Integrate over z, use the boundary conditions, and then integrate over x.]
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