**Unformatted text preview: **1 2 2 2 2 2 2 2 2 2 du f d t y du f d v x y = ∂ ∂ = ∂ ∂ ) / ( ) , ( so v x t f t x y-= is a solution to the wave equation with wave speed v . c) This is of the form v x t u u f t x y-= = with ), ( ) , ( and 2 2 ) ) ( ( ) ( x c B t C De u f--= , and the result of part (b) may be used to determine the speed B C v = immediately....

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