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[QUE/CM-04017]

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The Lagrangian for a system with one degree of freedom is given by \[ L=\frac{1}{2} m  \dot{x}^2 - \omega^2 x^2 -\alpha x^4 + \beta x \dot{x}^2\]

  1. Obtain the momentum conjugate to \(x\) and the Hamiltonian
  2. Write the Hamiltonian equations of motion.

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4727:Diamond Point

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