A D-shaped membrane with radius a of the semicircular portion is fixed along its boundaries. Write down the equation of motion a wave satisifies in

  

A D-shaped membrane with radius a of the semicircular portion is fixedalong its boundaries. Write down the equation of motion a wave satisifies in polar (r, θ) co-ordinates and find out the condition for the normal modes of this membrane. Can you write down the normal modes for this set-up ? Science Physics

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