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PHY 242

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Test 2 Completed

I completed Test 2 today at the Manassas Testing Center. It should be in the mail tomorrow, with 2 day shipping.

I have a question about a test question. The question gave y(x,t) = A*exp(-(wt-kx)^2). I kept thinking of Euler's Identities to relate the exponential to sines and cosines and therefore verify the wave function in the familiar form, but I wasn't sure if this was correct or if there is another identity that needs to be used.

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That exponential has a strictly real exponent so Euler's Identity isn't relevant to the solution of this problem.

However you are absolutely right about sines and cosines coming from the Euler identity, and in fact this reduces a lot of the differential equations related to sines and cosines to exponential solutions, saving a lot of work.
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For this particular problem you simply need to show that the second partial derivatives y_xx and y_tt have the relationship dictated by the wave equation.
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@& For this particular problem you simply need to show that the second partial derivatives y_xx and y_tt have the relationship dictated by the wave equation. *@

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@&
For this particular problem you simply need to show that the second partial derivatives y_xx and y_tt have the relationship dictated by the wave equation.
*@