In this paper,the achievements in the growth of solutions of linear differential equations with entire coefficients for a few years are related.On the base of this ,The growth of solutions of two classes of k-order linear differential equations with entire coeffitients are studied .and obtain some estimates of the hyper-order of their solutions,the results obtained improved the related results of some authors.The growth of solutions of linear differential equations with meromorphic coefficients are also studied in this paper, And obtain some estimates of the hyper-order of their solutions,Which generalized the related results of the hyper-order of solutions of equations with entire coefficients.
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