Ke Honglu, Xie Hexi. Differentiator Series Solution of Linear Differential Ordinary Equation[J]. Applied Mathematics and Mechanics, 1999, 20(8): 822-828.
Citation:
Ke Honglu, Xie Hexi. Differentiator Series Solution of Linear Differential Ordinary Equation[J]. Applied Mathematics and Mechanics, 1999, 20(8): 822-828.
Ke Honglu, Xie Hexi. Differentiator Series Solution of Linear Differential Ordinary Equation[J]. Applied Mathematics and Mechanics, 1999, 20(8): 822-828.
Citation:
Ke Honglu, Xie Hexi. Differentiator Series Solution of Linear Differential Ordinary Equation[J]. Applied Mathematics and Mechanics, 1999, 20(8): 822-828.
In this paper, the principle techinique of the differentiator method, and some examples using the method to obtain the general solution and special solution of the differential equation are introduced. The essential difference between this method and the others is that by this method special and general solutions can be obtained directly with the operations of the differentor in the differential equation and without the enlightenment of other scientific knowledge.