Word Count : 256

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The given differential equation is [ \frac{d^2y}{dx^2} + a^2 y = \sec(ax) ] First, solve the complementary (homogeneous) equation: [ \frac{d^2y}{dx^2} + a^2 y = 0 ] The characteristic equation is [ r^2 + a^2 = 0 \implies r = \pm ai _______ ___ ______ __________ ___ _____ _____ __________.
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