Shiyun Li
Abstract
The article discusses general solutions through the Integration Method,and calculates solution formula when the n-order variable coefficients of linear ordinary differential equation sum from k=0 to n (Ak(x)y~(k))=f(x) meets the condition 1+[A1/A0]′=0,(Ak/A0)+[Ak+1/A0]′=0,k=1,2,……,n-2.
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The article discusses general solutions through the Integration Method,and calculates solution formula when the n-order variable coefficients of linear ordinary differential equation sum from k=0 to n (Ak(x)y~(k))=f(x) meets the condition 1+[A1/A0]′=0,(Ak/A0)+[Ak+1/A0]′=0,k=1,2,……,n-2.
Key concepts: Ordinary differential equation, Mathematics, Order (exchange), Linear differential equation, Variable (mathematics), Differential equation, Mathematical analysis, Applied mathematics