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Need help with Acoustics ODE

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I'm having a bit of a mental block with integrating a trig function that's cropped up in some work I'm doing on acoustics. The bones of it are

 

dr/dt=(simple terms)-(A-Bcos{wt))^2/(C+Dsin(wt))

 

A, B, C, D and w all constant.

 

Pointers yo a way forward would be much appreciated

 

Seth

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