$\"\"$

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(a)

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The differential equation is $\"\"$ and the point is $\"\"$ .

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Graph:

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Graph the differential equation $\"\"$ .

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Sketch a solution passing through the $\"\"$ flowing the slope line.

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$\"\"$

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$\"\"$

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(b) Find particular solution:

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The differential equation is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Apply integral on each side.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Consider $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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The initial condition is $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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The particular solution is $\"\"$ .

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$\"\"$

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(c) Graph the particular solution: $\"\"$ .

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Graph:

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$\"\"$

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$\"\"$

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(a) Graph of the differential equation $\"\"$ :

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$\"\"$

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(b) The particular solution is $\"\"$ .

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(c) Graph of the particular solution $\"\"$ :

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$\"\"$ .