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Unformatted text preview: 108 1 Solutions ,
solution is , and . It follows that the general
. 10. In standard form we get . The matrix equation implies and , Hence
solution is , and .
. The general . 11. The homogeneous equation is Cauchy-Euler with indicial equation
. It follows that
is a fundamental set. After
writing in standard form we see the forcing function
is . The matrix
general solution is and . Hence , and . The
. 12. A fundamental set is . The matrix equation
. Hence ,
. The general solution is , and .
13. The matrix equation
Hence , . Since
can write the general solution as and , and
is a homogeneous solution we
. 14. When put in standard form one sees that
tion . The matrix equa- implies
. Since solution as . and . , and
is a homogeneous solution we can write the general
. 15. After put in standard form the forcing function
implies is . The matrix equaand ...
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- Fall '08