Let u= (a1, a2, a3) be a fixed vector in R of length ||u|| = 1....

 

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Let u= (a1, a2, a3) be a fixed vector in R³ of length ||u|| = 1. Define a function f: R³ → R by f(£1,2,®3) =sinh(u •x), where x = (1, 2, 3). Prove that f satisfies the partial differential equation a²f8²f8²f + + dx ax ax Let u= (a1, a2, a3) be a fixed vector in R³ of length ||u|| = 1. Define a function f: R³ → R by f(£1,2,®3) =sinh(u •x), where x = (1, 2, 3). Prove that f satisfies the partial differential equation a²f8²f8²f + + dx ax ax