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Boundary Value Problems
Differential equations Initial conditions Prescribed value at t = 0 for the entire region of interest Boundary conditions Prescribed value on the boundary for the entire time period of interest
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Separation of Variables
BVP for an E-field component One-dimensional case: An example Differential equation Boundary conditions Initial conditions Boundary Value Problem (BVP)
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Separation of Variables
Separated solution:
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Separation of Variables
Separated solution:
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Separation of Variables
Separated solution: (1) (2) (3)
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Separation of Variables
Solution for Eq. (1):
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Separation of Variables
Solution for Eq. (1):
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Separation of Variables
Solution for Eq. (1):
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Separation of Variables
Solution for Eq. (1): Eigenvalue problem Eigenfunction Eigenvalue
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