2. Consider the space L²([1, 2]) of complex square integrable functions on the interval[1, 2). Define the operatorAf = () + 3rs,Pwith the boundary conditionsf(1) = 0, (2) + f(2) = 0 .drShow that the all egeinvalues of A are real. Show that the egeinfunctions corre-sponding to different egeinvalues are orthogonal to each other with respect to thestandard scalar product on L²([1, 2).

Name: 2. Consider the space L²([1, 2]) of complex square integrable functio
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Description: 2. Consider the space L²([1, 2]) of complex square integrable functions on the interval[1, 2). Define the operatorAf = () + 3rs,Pwith the boundary conditionsf(1) = 0, (2) + f(2) = 0 .drShow that the all egeinvalues of A are real. Show that the egein

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2. Consider the space L ([1,2)) of complex square integrable functions on the interval [1, 2). Define the operator Af + 3r²f , d.r. with the boundary conditions S(1) = 0 , df (2) + f(2) = 0 .

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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