3.- Consider an operator B that satisfies the following cubic equation B3 – B² – 4Î = Ô %3D where B is the identity operator. a) What are the eigenvalues of B? b) What are the eigenfunctions of B? c) Show that B is an observable.

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A: This question is about application of boundary value problem

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Q: и — 100и,ди — 0, 0 0, - u(0, t) = 0, u(1, t) = 0, t> 0, u (х, 0) — sin(2mа) — sin (5та), 0<T<1.

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A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…