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Problem #30: Consider the following boundary value problem, [4 marks] x?y + 21xy + (100 + 2)y = 0, y(t) = 0, ye?) = 0 (a) F
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Any y(1) EO z?y!! +212 y + (100+) y = 0 ; 9(67) put z=logea n=ez → (D(0-1) + 21 D +100+ x) j) y co = (D2–D+21D + (1000+ 1))2 x2 eigen values are ows n2 T² 4g and our associated eigen tretions are. Cz sin (nt logx) Yn () ayo Y(x) = Ca sin ( na logx)

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Problem #30: Consider the following boundary value problem, [4 marks] x?y" + 21xy' + (100 +...
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