Solved: Verify that y1(x) = e2x cos 3x, y2(x) = e2x sin 3x, and y3(x) = e4x are

Chapter 3, Problem 59

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Verify that y1(x) = e2x cos 3x, y2(x) = e2x sin 3x, and y3(x) = e4x are solutions to the differential equation y + 8y + 29y + 52y = 0, and show that y1 y2 y3 y 1 y 2 y 3 y 1 y 2 y 3 is nonzero on any interval.

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