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11.10, §2 Solution

Homogeneous equation:

Variation of parameters:

Put the additional terms to zero:

(1)

Do not put the additional terms to zero in the highest derivative. Instead, put everything into the O.D.E.:

(2)

The result is a system of linear equations (1), (2) for A' and B':

Forward elimination:

Back substitution gives B'=1 and :

Total solution :

Up: 11.10 Previous: 11.10, §1 Asked