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Fundamental Set of Differential Equations on an Indicated Interval : y'' - y' - 12y = 0; e^-3x, e^4x, (-∞, ∞ )

Y'' - y' - 12y = 0; e^-3x, e^4x, (-∞, ∞ )
Could you provide assistance on setting up and working of the problem.

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A differential equation is solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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