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Green Functions

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I'm looking for help in solving question 3 which is attached as a PDF document to this description.

The question asks for the Green Function, GF of: d(^2)y/dt(^2) +5*dy/dt + 6*y and show

that's its generic sol is y(t)= e^-2t int e^2z f(z) dz - e^-3t int e^3z f(z) dz.
lims 0 to t lims 0 to t

Find the GF sol when f(x)=sinh t

Find the eigenvalues and normalised eigenfunctions of d(^2)y/dx(^2) + 4*y =Lambda y then use this result to write the GF of d(^2)y/dx(^2) + 4*y=f(x) and say why it is appropriate to do so.

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Solution Summary

The solution examines green functions and generic sol.

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