Solving System of Higher-Order Linear Differential Equations On The Level of Operators
DOI:
https://doi.org/10.32628/IJSRST2310152Keywords:
System of Higher-Order Linear Differential Equations, Operator Problem, Vector Green’s Function, Initial Value ProblemsAbstract
In this paper, I present a method for solving the system of higher-order linear differential equations (HLDEs) with inhomogeneous initial conditions on the level of operators. Using proposed method, we compute the matrix Green’s operator as well as the vector Green’s function of a fully-inhomogeneous initial value problems (IVPs). Examples are discussed to demonstrate the proposed method.
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