Using the Method of Undetermined Coefficients, Determine the Most Suitable $y _ { p }$

question 31

Multiple Choice

Using the method of undetermined coefficients, determine the most suitable choice for $y _ { p }$ given $y ^ {tt } - 3 y ^ { t } - 54 y = x ^ { 2 }$ . (You do not need to solve the differential equation.)

• A) \(y _ { p } = A x + B\)
• B) \(y _ { p } = A x ^ { 2 } + B x + C\)
• C) \(y _ { p } = A x ^ { 3 } + B x ^ { 2 } + C x + D\)
• D) \(y _ { p } = A x ^ { 3 } + C x\)
• E) \(y _ { n } = A x ^ { 2 }\)

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