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The Method of Characteristics Solving IVP’s the Easy Way.

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Presentation on theme: "The Method of Characteristics Solving IVP’s the Easy Way."— Presentation transcript:

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2 The Method of Characteristics Solving IVP’s the Easy Way

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4 IVP = Equation + IC

5 in space such thatTry to find a curve This happens Motivation

6 The General Case Parametrize a curve

7 Solve

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10 Invert

11 Our Solution is

12 An Easy Example Parametrize a curve

13 Solve

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16 Invert

17 Our Solution is

18 Another Example Parametrize a curve

19 Solve

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22 Invert

23 Our Solution is

24 Important Points Method generalizes to solve most any first order PDE This method fails when we cannot invert the variables A major application follows It’s so easy

25 How to Destroy a Planet By Andrew

26 How to Destroy a Planet Decide on a planet Isolate Aim Fire

27 How to Destroy a Planet Decide on a planet Isolate planet Aim Fire


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