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1 First and Second Order Partial Differential Equations Section 1.1

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Page 1: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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First and Second Order Partial Differential Equations

Section 1.1

Page 2: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Section 1.2

Page 3: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Section 1.3

Page 4: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Page 5: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Page 6: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Section 1.4

Page 7: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Page 8: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Section 1.5

( (

( (

( (

Page 9: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Section 1.6

Problems composed of a PDE and conditions on the boundary of the domain is called a

boundary value problem (BVP).

Page 10: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Page 11: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Section 1.7

Page 12: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Page 13: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Page 14: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Page 15: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Page 16: First and Second Order Partial Differential Equations …site.iugaza.edu.ps/rbsalha/files/2017/01/Chapter-13.pdfExamples: Solve the Cauchy problems (a) yuœ :ruy o, sm In ODE to determine

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Section 1.8