$\"\"$

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(a)

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The Bessel function of order $\"\"$ is $\"\"$ and its value at $\"\"$ is $\"\"$ .

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

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Therefore, $\"\"$ .

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Substitute $\"\"$ in above expression.

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$\"\"$

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$\"\"$

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(b)

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Consider the Bessel function $\"\"$ .

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in above expression.

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$\"\"$

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Substitute $\"\"$ in above expression.

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$\"\"$

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$\"\"$ .

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$\"\"$

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(a) $\"\"$ .

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(b) $\"\"$ .