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3. Consider a second order linear homogeneous equation Ay'' + By' + Cy = 0 Suppose...

3. Consider a second order linear homogeneous equation Ay'' + By' + Cy = 0 Suppose that e^at, e^bt and e^ct are solutions (where a, b, c are constants). A. Show that e^at + e^bt + e^ct is also a solution. B. Show that two of the numbers among a, b, c are equal.

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