Improve the Mean Square Solution of Second-order Random Differential Equations by Using Homotopy Analysis Method

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].