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\[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = 0
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\[
{} y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y = 0
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\[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime }-5 y = 0
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\[
{} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime }+2 y = 0
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\[
{} y^{\prime \prime \prime \prime }-y = 0
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 0
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\[
{} y^{\left (5\right )}-13 y^{\prime \prime \prime }+26 y^{\prime \prime }+82 y^{\prime }+104 y = 0
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\[
{} a^{2} y^{\prime \prime \prime \prime } = y^{\prime \prime }
\]
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\[
{} y^{\prime \prime \prime \prime }+a^{2} y^{\prime \prime } = 0
\]
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\[
{} a y^{\prime \prime \prime } = y^{\prime \prime }
\]
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\[
{} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y = 0
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\[
{} y^{\prime \prime \prime }-8 y = 0
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\[
{} y^{\prime \prime \prime \prime }-a^{2} y^{\prime \prime } = 0
\]
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