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      <text>19.4.2.4 Case 2: Light damping</text>
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      <text><![CDATA[<h5>Case 2: Light damping<br></h5>

<p>If \(k^2-4mn&lt;0\), i.e. \(k^2&lt;4mn\) then the roots of the auxiliary equation are complex:</p>
<p>\(\qquad \lambda_1 = \dfrac{-k+\, i\sqrt{4mn-k^2}}{2m} \qquad \lambda_2 = \dfrac{-k-\, i\sqrt{4mn-k^2}}{2m}\)</p>
<p>Then, after some rearrangement:</p>
<p>\(\qquad x=\text{e}^{-kt/2m} \left[A\cos pt+B\sin pt\right] \quad\) in which \(\quad p=\sqrt{4mn-k^2}/2m.\)</p>]]></text>
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