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ubuntu2004
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<?xml version='1.0' encoding='UTF-8'?>
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<exercise xmlns="https://spatext.clontz.org" version="0.0">
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<statement>
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<p>
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Show that
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<m>y_1={{y1}}</m>,
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<m>y_2={{y2}}</m>, and
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<m>y_3={{y3}}</m>,
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are particular solutions to the following ODE:
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</p>
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<me>{{ode}}</me>
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<p>
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Then show that these solutions are independent by using the Wronskian,
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and give the general solution for the ODE.
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</p>
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</statement>
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<answer>
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<me>
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W({{y1}},{{y2}},{{y3}})=
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{{wronskian}}
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</me>
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<me>
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y = k_1{{y1}}+k_2{{y2}}+k_3{{y3}}
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</me>
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</answer>
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</exercise>
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