Huang Yong-nian. The Explicit Solution of Homogeneous Linear Ordinary Differential Equations with Constant Coefficients[J]. Applied Mathematics and Mechanics, 1992, 13(12): 1069-1074.
Citation: Huang Yong-nian. The Explicit Solution of Homogeneous Linear Ordinary Differential Equations with Constant Coefficients[J]. Applied Mathematics and Mechanics, 1992, 13(12): 1069-1074.

The Explicit Solution of Homogeneous Linear Ordinary Differential Equations with Constant Coefficients

  • Received Date: 1991-10-25
  • Publish Date: 1992-12-15
  • In this paper by using tensor analysis we give the explicit expressions of the solution of the initial-value problem of homogeneous linear differential equations with constant coefficients and the nth-order homogeneous linear differential equation with constant coefficients.In fact,we give the general formula for calculating the elements of the matrix eAt.We also give the results when the characteristic equation has the repeated roots.The present method is simpler and better than the other methods.
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    王柔怀、伍卓珊,《常微分方程讲义》,人民教育出版社(1963).146.
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    王高维、周之铭等,《常微分方程》(第2版),高等教育出版社(1983),223.
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