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ubuntu2004
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<exercise>
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<statement>
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<p>
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Modify the line of SageMath code
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<c>t,y = var('t y'); plot_slope_field(FIXME, (t,-5,5), (y,-5,5))</c>
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and run it at <url href="https://sagecell.sagemath.org/"/> to
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produce the direction field for the ODE <m><xsl:value-of select="ode"/></m>.
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</p>
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<p>
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Then explain how to use its direction field to approximate the
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value of <m>y(<xsl:value-of select="othert"/>)</m> given
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the initial value <m>y(<xsl:value-of select="t0"/>)=<xsl:value-of select="y0"/></m>.
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</p>
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</statement>
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<answer>
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<p>
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Replace <c>FIXME</c> with <c><xsl:value-of select="field_sage"/></c> to show
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the direction field. Then sketch a curve passing through the initial value
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to show that
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<m>y(<xsl:value-of select="othert"/>)\approx<xsl:value-of select="othery"/></m>.
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</p>
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</answer>
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</exercise>
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