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**Unformatted text preview: **k so the equations of motion are mu 00 1 = k ( u 2-u 1 ) Mu 00 2 = k ( u 1-u 2 ) Solve these equations by nding the normal modes of oscillation. Interpret your results with a diagram. 5. a) Find the solution u ( x , y ) of u x + 3 u y-u = 0 with u ( , y ) = 1 + y 2 . b) Find the solution v ( x , y ) of v x + 3 v y-v = 1 with v ( , y ) = 1 + y 2 . [Last revised: January 29, 2011] 1...

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