<?xml version='1.0' encoding='UTF-8'?>
<exercise xmlns="https://spatext.clontz.org" version="0.0">
<statement>
<p>
Modify the line of SageMath code
<c>t,y = var('t y'); plot_slope_field(FIXME, (t,-5,5), (y,-5,5))</c>
and run it at <url href="https://sagecell.sagemath.org/"/> to
produce the direction field for the ODE <m>{{ode}}</m>.
</p>
<p>
Then explain how to use its direction field to approximate the
value of <m>y({{othert}})</m> given
the initial value <m>y({{t0}})={{y0}}</m>.
</p>
</statement>
<answer>
<p>
Replace <c>FIXME</c> with <c>{{field_sage}}</c> to show
the direction field. Then sketch a curve passing through the initial value
to show that
<m>y({{othert}})\approx {{othery}}</m>.
</p>
</answer>
</exercise>