$\"\"$

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The differential equation is $\"\"$ .

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Rewrite the equation as $\"\"$ .

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(a)

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Graph the slope field $\"\"$ .

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$\"\"$

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$\"\"$

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(b)

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The differential equation is $\"\"$ .

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The equation is in the form of Bernoulli equation $\"\"$ .

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The differential equation is a first order linear differential equation.

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Solution of the first order linear differential equation is $\"\"$ is $\"\"$ .

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

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Find $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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

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

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$\"\"$

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$\"\"$

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Let $\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the integral.

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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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$\"\"$

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$\"\"$ .

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

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$\"\"$

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The solution of the differential equation is passing through the points $\"\"$ and $\"\"$ .

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

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$\"\"$ .

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The particular solution passing through the point $\"\"$ 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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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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The particular solution passing through the point $\"\"$ is $\"\"$ .

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$\"\"$

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(c)

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Graph the particular solutions $\"\"$ and $\"\"$ on the slope field.

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$\"\"$

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$\"\"$

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(a) Graph of the slope field $\"\"$ .

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$\"\"$

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(b) The particular solution passing through the point $\"\"$ is $\"\"$ .

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The particular solution passing through the point $\"\"$ is $\"\"$ .

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(c) Graph of the particular solutions $\"\"$ and $\"\"$ on the slope field.

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$\"\"$