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    Systematic Elimination method to solve the system

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    Use the Systematic Elimination method to solve the system of ordinary differential equations.
    See attached file for full problem description.

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    Please see the attached file.

    Consider a system of linear differential equations with constant coefficients:

    where pij is a polynomial operator in , for . The three types of elementary operations are these:
    (E1) Interchange two equations
    (E2) Multiplying an equation through by a nonzero number
    (E3) Adding to one equation a multiple of (i.e. any number times) some other equation.
    We have the following theorem:

    Each of the elementary operations (E1), ...

    Solution Summary

    The solution provides detailed explanations on the theory of Gaussian elimination method and then step-by-step calculations for the problem.