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Governing differential equation for small deflections of elastic beamsis given by
$$\frac{\partial^2 y}{\partial x^2} = \frac{M}{EI}$$
$$EI\frac{\partial^3 y}{\partial x^3} = V(x)$$
$$EI\frac{\partial^4 y}{\partial x^4} = q(x)$$
All the above
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