DL2.ptx

<exercise>
  <statement>
      <ol>
      <li>
Compute the Laplace transform of
<m>y = <xsl:value-of select="pretransform"/></m> by using a transform table.
      </li>
          <li>
Show why <m>\mathcal{L}\{<xsl:value-of select="e_pretransform"/>\}=<xsl:value-of select="e_transform"/></m>
using the integral definition of a Laplace transform.
          </li>
      </ol>
  </statement>
  <answer>
      <ol>
          <li>
      <me>
\mathcal{L}\{y\} = <xsl:value-of select="transform"/>
      </me>
          </li>
          <li>
              <me>
\mathcal{L}\{<xsl:value-of select="e_pretransform"/>\}=\int_0^{\infty}<xsl:value-of select="e_pretransform"/>e^{-st}\,dt
              </me>
          </li>
      </ol>
  </answer>
</exercise>