The velocity v and the displacement x of a mass attached to a nonlinear spring satisfy the

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The velocity v and the displacement x of a mass attached to a nonlinear spring satisfy the equation

1 = 4x + x4 + A -

where A depends on the initial velocity v0 and displacement x0 of the mass. Sketch the graph of v against x where

(a) x0 = 1, v0 = 0

(b) x0 = 3, v0 = 0

and interpret your graph.

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