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<exercise>
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<statement>
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<p>
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Apply each of the substitutions <m>u=\frac{y}{t}</m> and
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<m>u=at+by+c</m> to one of the following
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ODEs, and show that each result is separable.
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(Do not fully solve either ODE.)
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</p>
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<ol>
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<xsl:for-each select="odes/*">
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<li><m><xsl:value-of select="ode"/></m></li>
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</xsl:for-each>
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</ol>
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</statement>
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<answer>
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<ol>
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<xsl:for-each select="odes/*">
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<li><m><xsl:value-of select="ode_simp"/></m></li>
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</xsl:for-each>
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</ol>
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</answer>
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</exercise>
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