Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. y"8y' + 25y = 0; y = e4x cos 3x When y = e4x cos 3x, y' = 4x -3esin 3x + 4ecos 3x X -24e4xsin 3x + 7e4x cos 3x x Thus, in terms of x, y" - 8y' + 25y = 7e4x cos 3x - 24e4xsin 3x 0 X + 25 e4x cos 3x

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