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Question: c 30 the following differential equation arises naturally in physical...

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c) 30%) The following differential equation arises naturally in physical problems involving oscillations: dy12 dr where k is related to the wave-length, λ (period of a sinusoidal solution) by k boundary conditions are y(0) 0 and y(L) 0. 2πΑ The First, is y(t) 0 a solution to the above problem? Then, find the eigenvalues kn and the eigenfunctions yn(x) (also, called the non-trivial solutions). Sketch a few yn(T). Is this differential equation linear or nonlinear? eie-cos θ + i sin θ. You may use whatever method to solve these Eulers identity: questions

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