F5.ptx

<exercise>
  <statement>
    <p>
      Use a substitution (either <m>u=\frac{y}{t}</m> or <m>u=at+by</m>)
      to rewrite each of the following ODEs as the separable ODE
      <m><xsl:value-of select="separated"/></m>.
      (Do not fully solve either ODE.)
    </p>
    <ol>
        <xsl:choose>
    <xsl:when test="swapped">
      <li><m><xsl:value-of select="y_over_t"/></m></li>
      <li><m><xsl:value-of select="at_y"/></m></li>
    </xsl:when>
    <xsl:otherwise>
      <li><m><xsl:value-of select="at_y"/></m></li>
      <li><m><xsl:value-of select="y_over_t"/></m></li>
    </xsl:otherwise>
        </xsl:choose>
    </ol>
  </statement>
  <answer>
    <ol>
        <xsl:choose>
    <xsl:when test="swapped">
      <li>Let <m>u=\frac{y}{t}</m></li>
      <li>Let <m><xsl:value-of select="at_y_sub"/></m></li>
    </xsl:when>
    <xsl:otherwise>
      <li>Let <m><xsl:value-of select="at_y_sub"/></m></li>
      <li>Let <m>u=\frac{y}{t}</m></li>
    </xsl:otherwise>
        </xsl:choose>
    </ol>
  </answer>
</exercise>