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# exam1_review - SSM 317 Review Problems#1 1 Section 5.4 16 2...

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Unformatted text preview: SSM 317 Review Problems #1 1. Section 5.4: # 16 2. Consider the boundary-value problem on the interval 0 5 z 5 7r: ODE: 11"" + 51.5" + 4n = 0 BC): u(0) + Auﬁr) = 0 and u’(0) = u"(0) = "’(0) = 0 Using Laplace transforms, ﬁnd the (unique) value of A for which this problem has nontrivial solutions. Then ﬁnd these solutions. 3. Solve by extended power series method (i.e., assume 1; = 2.3.139”): n=D ODE: 21:21:" — 3xy’ — 3y = 0 10's: y(1) = 1 y’(1) = 5-5 Z. u "f +. 5;: 2-3: 4., .= ______ " £333,719 J24 ‘ C __ 0.... 2'0 0 ' f . __ Jigs) £53949) I! I . ______ ._ . 'E ' .. ____._._.... .. _. . . .___.___.. . (4.405 ..;r.§____..qm-- .ggagﬁifﬂz)-%Q_))_§§kdq)__ '- Hm g Q1 -;r}L-:2n air 9-3.. =2 0" .'.§_:.___f.' ...,_+—-~-u — ' frr J£2~53sr~10tﬁﬁnlé5 ff '_ " .. _(hLQ62t1*3”_H) # :én “ﬁr “3. "*- O .. ‘lﬁkerlCZg-Zw) + :_3{3:a;3::12__:_é_;'..___ﬁ__.______Q __ __. .. , ‘ - _Ct1 “3*rbaﬁ2gzzahf-2LQ__ a ﬂ ...... _ .m .5 __ _ ﬂ W q h,:.‘:_._..__:m_i ”_:ir;2__;__-_.,,, ._ ' _._ _.._Tv __ — h _ .___. _ ...
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exam1_review - SSM 317 Review Problems#1 1 Section 5.4 16 2...

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