Abstract:
In the report, the differential inverse operator shift theorem and matrix operation were used to show the particular solution for a class of 1st-order inhomogeneous linear differential equation with constant coefficients in the form of matrix, and on which Euler’s formula was used to show the particular solution for another class of 1st-order inhomogeneous linear differential equation with constant coefficients in the form of matrix. The method, which is easy to master, not only work out the particular solution to such differential equations very easily, but also can be applied to seeking a particular solution to a higher-order homogeneous linear differential equation with constant coefficients.