3. a) Consider the Lagrangian L(x,x, t) = fx 1 2 * where x = . Obtain the equation of the motion x(t) by using the condi
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3. a) Consider the Lagrangian L(x,x, t) = fx 1 2 * where x = . Obtain the equation of the motion x(t) by using the condi
3. a) Consider the Lagrangian L(x,x, t) = fx 1 2 * where x = . Obtain the equation of the motion x(t) by using the conditions x(t = 0) = 0 and x(t = 1) = 0. (15 marks) b) The Hamiltonian of a system is given as H(x,y,Py, Py) = P + P3 Determine if F(x, y, Px, Py) = Pxy - P x is a prime integral for the system. (10 marks)
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