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2. For the system with nonlinear spring described by the equation of motion 3x + 0.2x -x+x = 0 a. Find the equilibrium positions.

2. For the system with nonlinear spring described by the equation of motion 3x + 0.2x -x+x = 0 a. Find the equilibrium positions. b. Linearize the equations of motion about each equilibrium, find the solutions, and describe what the motion looks like close to each equilibrium. c. Indicate which equilibrium points are stable and which are not.

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a To find the equilibrium positions we set the equation of motion equal to zero 3x 02x x 0 ... blur-text-image

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