$\"\"$

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(a)

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The differential equation is $\"\"$ .

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The initial condition 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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Solution of first order linear differential equation $\"\"$ is $\"\"$ .

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Here $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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This equation passes through the point $\"\"$ .

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$\"\"$

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Substitute the value in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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The particular solution of the differential equation 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 solution of the differential equation is $\"\"$ .

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

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$\"\"$ .