The charge q, on a capacitor in a certain electrical circuit satisfies the differential equation shown. 3 \cdot \frac{d^{2} q}{d x^{2}}-4.5 \cdot \frac{d q}{d x}+7.5 q=0 Initially at time x = 0, q = 2 and dq/dx = 0. Find the particular solution using the D-operator method, and furthermore verify this solution using Laplace transforms.

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