Ordinary Diff Eq Exam Review Solutions 36

Ordinary Diff Eq Exam Review Solutions 36 - 38 1 Solutions...

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Unformatted text preview: 38 1 Solutions 8. The corresponding integral equation is We now have 9. The corresponding integral equation is We then have 10. The right hand side is . Then . Both and are continuous in the whole -plane and thus are continuous on any rectangle containing the origin . Picard’s theorem applies and we can conclude there is a unique solution on an interval about . 11. The right hand side is . If is any rectangle about then there are -coordinates that are negative. Hence is not defined on and Picards’ theorem does not apply. ...
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