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Green's Functions, Wave Equation, Heaviside Function and Neumann Boundary Condition

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The Green's function for the infinite domain is...
where H is the Heaviside function. Use Green's functions to solve the Neumann boundary condition problem...
Give explicit formulas for the solution in each region x>t and x<t.

Please see attached for equations.

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Green's Functions, Wave Equation, Heaviside Function and Neumann Boundary Condition are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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