If the particular integral of the partial differential equation (D+ 2DD' + D'2} Z = cos(x + 2y) is k cos(x + 2y), then K = _______.

1
\(-\frac{1}{9}\)
2
\(\frac{1}{9}\)
3
\(\frac{1}{8}\)
4
\(-\frac{1}{8}\)

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