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# additionalproblems - Math 322 Spring 2008 Review Problems...

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Math 322. Spring 2008 Review Problems For The Final Exam Additional Problems Problem A.1 : Solve the the following initial value problem with Laplace transform. d 2 y dt 2 - y = δ ( t - 3) y (0) = 0 y (0) = 0 Problem A.2 : Solve the following wave equation. u tt - a 2 u xx = 0 0 < x < l, t > 0 u (0 , t ) = u ( l, t ) = 0 t > 0 u ( x, 0) = ϕ ( x ) 0 x l u t ( x, 0) = ψ ( x ) 0 x l Problem A.3 : Consider the following periodic function with period 6. To what values does its Fourier series converge to at the following
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