Consider the regular Sturm-Liouville y - 2y' + 2y = 0, a. Find the weight function....
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Consider the regular Sturm-Liouville y" - 2y' + 2y = 0, a. Find the weight function. b. Find the eigenvalues and eigenfunctions. boundary value problem: y(0) = 0, y() = 0 c. Construct an orthonormal system of eigenfunctions. d. Expand the following function using the orthonormal system: (2 0x /2 f(x) = 0 T IN 2 x (2 marks) (4 marks) (2 marks) (2 marks) Consider the regular Sturm-Liouville y" - 2y' + 2y = 0, a. Find the weight function. b. Find the eigenvalues and eigenfunctions. boundary value problem: y(0) = 0, y() = 0 c. Construct an orthonormal system of eigenfunctions. d. Expand the following function using the orthonormal system: (2 0x /2 f(x) = 0 T IN 2 x (2 marks) (4 marks) (2 marks) (2 marks)
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