F1.ptx

<exercise>
  <statement>
      <p>
Use <url href="https://sagecell.sagemath.org/"/> to run the SageMath code
<c>t,y = var('t y'); plot_slope_field(<xsl:value-of select="field_sage"/>, (t,-5,5), (y,-5,5))</c>
producing the direction field for the ODE <m><xsl:value-of select="ode"/></m>.
      </p>
      <p>
Let <m>y_p</m> be the solution to the following IVP.
Explain how to use its direction field to approximate the
value of <m>y_p</m> at <m>t=<xsl:value-of select="othert"/></m>.
      </p>
      <me>
          <xsl:value-of select="ode"/>\hspace{2em}
          y(<xsl:value-of select="t0"/>)=<xsl:value-of select="y0"/>
      </me>
  </statement>
  <answer>
      <me>y_p(<xsl:value-of select="othert"/>)\approx<xsl:value-of select="othery"/></me>
  </answer>
</exercise>