$\"\"$

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The function is $\"\"$ .

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Apply derivative 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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$\"\"$

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$\"\"$ .

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$\"\"$

\

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The differential equation is $\"\"$ .

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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 $\"\"$ when $\"\"$ yields.

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Substitute $\"\"$ when $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute the value of $\"\"$ in the function $\"\"$ .

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$\"\"$ .

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Therefore, the particular solution is $\"\"$ .

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$\"\"$

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The particular solution is $\"\"$ .