...waves
We already explored one other type of solution in Class Notes II, standing waves.
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...right
To see that f(x-a) is shifted to the right, note that the value f(0), which occurred at x=0, now occurs at x=a.
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...left
To see that f(x+a) is shifted to the left, note that the value f(0), which occurred at x=0, now occurs at x=-a.
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...equation
Recall that any solution to the pulse equation also solves the wave equation.
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...parameters.''
From ``Class Notes I''.
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...32#32
For concreteness, it may help to think of the example of the string. For the string (as with any mechanical system), you generally need to know both the location 33#33 and velocity 34#34 of each particle (chunk) at time t=0 in order to predict where all of the particles will be at any time t in the future.
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Tomas Arias
Mon Nov 5 16:44:43 EST 2001