Solution of the linear differential equation containing arrangement number and binomial coefficient
Sun Chang-jun
Abstract
Sun Chang-jun
Abstract
By transforming the linear differential equation with arrangement number and binomial coefficients into the linear differential equation of successive integral,the theory and method for the general solution of this kind of equation are determined.The theorem obtained in this paper is proved strictly and the application is introduced through examples.
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By transforming the linear differential equation with arrangement number and binomial coefficients into the linear differential equation of successive integral,the theory and method for the general solution of this kind of equation are determined.The theorem obtained in this paper is proved strictly and the application is introduced through examples.
Key concepts: Mathematics, Linear differential equation, Homogeneous differential equation, First-order partial differential equation, Exact differential equation, Universal differential equation, Differential equation, Bernoulli differential equation