1. Discuss the circular drumhead and the 2D wave equation is applicable.
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1. Discuss the circular drumhead and the 2D wave equation is applicable.
2.solve the 2D wave equation on the drumhead, subject the boundary condition that the solution dont blow up at the origin and show that solutions go to zero on the edge of the drumhead.
3. show that the above boundary conditions give you standing wave patterns.
4. find pictures or better make plots of some of the standing wave patterns on the drumhead and discuss the solutions compare and contrast them with sines and cosines in rectangular case.
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