Ordinary Diff Eq Exam Review Solutions 96

Ordinary Diff Eq Exam Review Solutions 96 - 98 1 Solutions...

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Unformatted text preview: 98 1 Solutions 30. 31. , 32. , , 33. The initial condition occurs at which is precisely where has a zero. Theorem 6 does not apply. 34. In this case and . The function , is a solution to the initial value problem. By the uniqueness part of Theorem 6 is the only solution. 35. The assumptions say that and . Both and therefore satisfies the same initial conditions. By the uniqueness part of Theorem 6 . Section 4.2 1. dependent; and are multiples of each other. 2. independent 3. independent 4. dependent; other. and , they are multiples of each 5. independent 6. dependent; and 7. dependent; , they are multiples of each other. , they are multiples of each other. 8. dependent; multiples of each other. 9. 1. Suppose get and on These equations imply dent. 2. Observe that then , they are . Then for . So and and are linearly indepenif if and . If we then If ...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.

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