$\"\"$

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

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Substitute $\"\"$ .

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Apply derivative on each isde with respect to $\"\"$ .

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

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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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$\"\"$

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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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$\"\"$

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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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$\"\"$ .