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Page 1: The one-dimensional wave equation - IIT G · 2021. 4. 15. · Solution of the One Dimensional Wave Equation: The Method of Separation of Variables . Suppose that f has the Fourier

The one-dimensional wave equation

Modeling the free vibration of the string:

8 April 2021

Page 2: The one-dimensional wave equation - IIT G · 2021. 4. 15. · Solution of the One Dimensional Wave Equation: The Method of Separation of Variables . Suppose that f has the Fourier

8 April 2021

Boundary conditions:

Initial conditions:

Page 3: The one-dimensional wave equation - IIT G · 2021. 4. 15. · Solution of the One Dimensional Wave Equation: The Method of Separation of Variables . Suppose that f has the Fourier

8 April 2021

Some recaps of Fourier Series:

Page 4: The one-dimensional wave equation - IIT G · 2021. 4. 15. · Solution of the One Dimensional Wave Equation: The Method of Separation of Variables . Suppose that f has the Fourier

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Page 5: The one-dimensional wave equation - IIT G · 2021. 4. 15. · Solution of the One Dimensional Wave Equation: The Method of Separation of Variables . Suppose that f has the Fourier

8 April 2021

Page 6: The one-dimensional wave equation - IIT G · 2021. 4. 15. · Solution of the One Dimensional Wave Equation: The Method of Separation of Variables . Suppose that f has the Fourier

8 April 2021

Page 7: The one-dimensional wave equation - IIT G · 2021. 4. 15. · Solution of the One Dimensional Wave Equation: The Method of Separation of Variables . Suppose that f has the Fourier

8 April 2021

Page 8: The one-dimensional wave equation - IIT G · 2021. 4. 15. · Solution of the One Dimensional Wave Equation: The Method of Separation of Variables . Suppose that f has the Fourier

8 April 2021

Page 9: The one-dimensional wave equation - IIT G · 2021. 4. 15. · Solution of the One Dimensional Wave Equation: The Method of Separation of Variables . Suppose that f has the Fourier

Why not some music!

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Page 10: The one-dimensional wave equation - IIT G · 2021. 4. 15. · Solution of the One Dimensional Wave Equation: The Method of Separation of Variables . Suppose that f has the Fourier

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