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The one-dimensional wave equation Modeling the free vibration of the string: 8 April 2021

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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

8 April 2021

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!

8 April 2021

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

8 April 2021

Lecture 21: The one dimensional Wave Equation: …peirce/M257_316_2012_Lecture_21.pdf · We show how the second order wave equation can be decomposed into two ﬂrst order wave operators,

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