The Homotopy analysis method is implemented by Golmankhanehi et al. to find the expectation and variance of the approximate solutions of the second-order random differential equations [1]. In this note, we reused the Homotopy analysis method to solve the same problem and we draw some very important improvements and comments on the paper [1]. The results in this paper are coinciding with the results in [2, 3, 4, 5].
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