Concept explainers
(a) Given that
(b) The method of variation of parameters is an elementary way of finding a particular solution of (12.19) when you know the solutions of the homogeneous equation. Show as follows that this method leads to the same result (12.21) as the Green function method. Start with the known solution of the homogeneous equation, say
You should have the two equations:
Solve this pair of equations for
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Mathematical Methods in the Physical Sciences
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