In the Three Previous Problems, the Product Solutions Are
A)

question 3

Multiple Choice

In the three previous problems, the product solutions are

• A) \(u _ { n } = \left( a _ { n } r ^ { n } + b _ { n } r ^ { - n } \right) \left( c _ { n } \cos ( n \theta ) + d _ { n } \sin ( n \theta ) \right) , n = 0,1,2 , \ldots\)
• B) \(u _ { n } = r ^ { n } \left( c _ { n } \cos ( n \theta ) + d _ { n } \sin ( n \theta ) \right) , n = 1,2,3 , \ldots\)
• C) \(u _ { n } = r ^ { n } \left( c _ { n } \cos ( n \theta ) + d _ { n } \sin ( n \theta ) \right) , n = 0,1,2 , \ldots\)
• D) \(u _ { n } = r ^ { n } \left( c _ { n } e ^ { n \theta } + d _ { n } e ^ { - n \theta } \right) , n = 0,1,2 , \ldots\)
• E) \(u _ { n } = r ^ { n } \left( c _ { n } e ^ { n \theta } + d _ { n } e ^ { - n \theta } \right) , n = 1,2,3 , \ldots\)

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Definitions:

Tense

The grammatical category that expresses time reference, typically manifested by the use of specific verb forms to indicate past, present, or future.

Adjective-Adverb

An aspect of grammar focusing on the use of adjectives to describe nouns and adverbs to modify verbs, adjectives, or other adverbs.

Adverb Confusion

The misunderstanding or incorrect use of adverbs, potentially altering the intended meaning of a sentence or phrase.

Quotation Marks

Punctuation marks used in pairs in various writing systems to set off direct speech, a quotation, or a phrase.