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For y = 3e^(2x) + 2e^(3x), which relation is satisfied?
Ay'' - 5y' - 6y = 0
By'' + 5y' + 6y = 0
Cy'' - 6y' + 5y = 0
Dy'' - 5y' + 6y = 0
Answer & Solution
Correct answer: D. y'' - 5y' + 6y = 0
With y' = 6e^(2x) + 6e^(3x) and y'' = 12e^(2x) + 18e^(3x), the combination y'' - 5y' + 6y cancels term by term.
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