Find the particular solution to the given differential equation that satisfies the given conditions.y'' - 6y'+ 25y = 0, y = 4 at x = 0 and y = 5e3?/8 at x = ?/8
A. y = e3x(4 sin 4x + 5 cos 4x)
B. y = 4e3x + 5e4x
C. y = e4x(5 sin 3x + 4 cos 3x)
D. y = e3x(5 sin 4x + 4 cos 4x)
Answer: D
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