$\"\"$

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The seasonal growth model differential equation is $\"\"$ , where $\"\"$ and $\"\"$ is positive constants.

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The initial condition is $\"\"$ .

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(a) Find the solution of seasonal growth model.

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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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$\"\"$ .

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

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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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$\"\"$

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(b) Graph the solution for different values of $\"\"$ and $\"\"$ .

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Consider $\"\"$ and $\"\"$ .

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Graph the function $\"\"$ .

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$\"\"$

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Consider $\"\"$ and $\"\"$ and $\"\"$

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Graph the function $\"\"$

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$\"\"$

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Consider $\"\"$ and $\"\"$ and $\"\"$

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Graph the function: $\"\"$

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$\"\"$

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$\"\"$ is dependent on $\"\"$ and $\"\"$ .

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$\"\"$ is does not exist.

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$\"\"$

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(a) The solution of differential equation is $\"\"$ .

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(b) $\"\"$ is does not exist.