Up: 12.10
Previous: 12.10, §1 Asked

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: 12.10
Previous: 12.10, §1 Asked