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      <text>19.4.2.7 Case 3: Heavy damping</text>
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      <text><![CDATA[<h5>Case 3: Heavy damping<br></h5>

<p>If \(k^2-4mn&gt;0\), i.e. \(k^2&gt;4mn\), then there are two real roots of the auxiliary equation, \(\lambda_1\) and \(\lambda_2:\)</p>
<p>\(\qquad \lambda_1= \dfrac{-k+\sqrt{k^2-4mn}}{2m} \qquad \lambda_2 = \dfrac{-k-\sqrt{k^2-4mn}}{2m}\)</p> 
<p>Then</p>
<p>\(\qquad x = A\text{e}^{\lambda_1t}+B\text{e}^{\lambda_2t}.\)</p>]]></text>
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