Explore BrainMass

Systematic Elimination method to solve the system

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


Solution Preview

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.