\"\"

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The function is \"\" and the differential equation is \"\".

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\"\"

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Apply first derivative on each side 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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\"\".

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Apply second derivative on each side with respect to \"\".

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\"\"

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Hence \"\".

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\"\"

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The function \"\" satisfies the differential equation \"\".