Ordinary Diff Eq Exam Review Solutions 106

Ordinary Diff Eq Exam Review Solutions 106 - 108 1...

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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 equation implies , general solution is and . Hence , and . The . 12. A fundamental set is . The matrix equation and implies . Hence , . The general solution is , and . 13. The matrix equation implies 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 Hence , . Since solution as . and . , and is a homogeneous solution we can write the general . 15. After put in standard form the forcing function tion implies is . The matrix equaand ...
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