The second-order homogeneous linear differential equation whose characteristic equation has roots − 3 8 + 1 4 𝑖 and − 3 8 − 1 4 𝑖 is: Hint: A quadratic equation whose roots are 𝛼 and 𝛽 is:   𝑋 2 − ( 𝛼 + 𝛽 ) 𝑋 + 𝛼 𝛽 = 0 .单项选择题

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Question25 Consider the homogeneous linear second-order differential equation with constant coefficients:[math]where [math], [math], and [math] are constants and [math]. Which of the following statements is true about the set of all solutions to this differential equation?Select one alternative: The set of all solutions does not form a vector space because the differential equation involves second derivatives. The set of all solutions does not form a vector space because constant functions are never solutions. The set of all solutions forms a vector space only if [math] and [math]. The set of all solutions forms a vector space because sums and scalar multiples of solutions are also solutions. ResetMaximum marks: 1 Flag question undefined

Which of the following trees corresponds to a potential parse of the ambiguous sentence below, with correct syntactic categories? Some diagnostics are provided.

Which of the following sentences contain two non-finite verbs? Select all that apply.

The syntactic head of a phrase is the most important element of a phrase and whose category defines the phrase's [ Select ] exponent movement distribution head . Single words or phrases that form part of a phrase but are not the head are called [ Select ] head complement dependent argument modifier . This classification can be further divided into: 1) [ Select ] arguments modifiers complements dependents heads , which have a closer relationship to the head, and are not easily reordered and 2) [ Select ] arguments complements dependents heads modifiers , which have a much looser connection to the head and can often be reordered with other [ Select ] heads modifiers complements dependents arguments . Consider the concrete example: "a strong cup of coffee" and the following diagnostics. In this example, "cup" is a [ Select ] dependent complement argument head modifier , "of coffee" is a [ Select ] argument dependent complement head modifier , "strong" is a [ Select ] argument modifier complement head dependent , and "a" is a [ Select ] modifier dependent head dependent complement .

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