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day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

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Page 1: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

Page 2: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

Page 3: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

Page 4: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

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First Order Partial Differential Equations

Page 5: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

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Page 7: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

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Page 9: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

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Page 11: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

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Initial Data

Page 12: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

Page 13: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

Page 14: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

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and Appropriate Initial Data

Page 16: day03 - UHjmorgan/Math4335/lectures/day03.pdf · 2 (9 S B So, although we can theoretically solve the initial value problem to obtain our characteristic curves as they eminate from

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