Suppose there is a string in a medium that applies a resistant force per unit length proportional to the velocity of the string. How do you write the equation of string vibrations?
Wave equation in a medium PDE
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pde
physics
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0If the displacement of the string is $u(x,t)$ then the velocity is $u_t$ the acceleration is $u_{tt}$ and the curvature is $u_{xx}$. How are the acceleration and curvature related when there is no resistive force? – 2012-02-14