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today i learn about Eigen Function, I have many problem about Eigen Fuction

I not understand what the Eigen Fuction, Eigen Vector, Eigen Value?

For Example I not Understand this problem,

show the sinh 2x as not a Eigen Function d^{2}/dx^{2}, Although the equation as d^{2}/dx^{2}sinh2x = 4 sinh 2x

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# Eigen Function, Help me

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