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3 cards from this section. Quick, good the night before a test.
What is the standard form of the wave equation?
Remember the general representation of wave equations.
Identify the boundary conditions in our example.
Think about the values of the function at the ends of the string.
What does the wave equation model?
Think about the contexts where waves are discussed.
True or False: The initial displacement affects the shape of the wave.
Consider the importance of initial conditions.
Consider a wave equation defined in a region with non-fixed boundary conditions. Describe how this would affect your solution approach.
Think about how the ends of a string can move.
Using Fourier series, compute the solution for initial conditions that change over a range of values rather than fixed points.
Consider how you can represent varying functions in terms of sines and cosines.
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