$\"\"$

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The exponential function is $\"\"$ .

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The differential equation $\"\"$ , where $\"\"$ .

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$\"\"$

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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 the first derivative function.

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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Again differentiate on each side with respect to $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in the second derivative function.

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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Again differentiate on each side with respect to $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in the third derivative function.

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$\"\"$

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Observe the first three derivative :

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$\"\"$ .

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Therefore, the stament is true.

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$\"\"$

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The stament is true.