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Differential Equation Using Cosine Transform

Problem 5 (25 points) Consider the boundary value problem
y'' - α²y =1 0 ≤ x < oo
with boundary conditions
y' (0) = 1 y bounded as x --> oo
(a) (5 points) What transform would be the most advantageous to use for this problem?
(b) (10 points) Using this transform determine the solution for the transform of the solution
(c) (10 points) Invert the transform to obtain the solution...

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