Write the Lagrange's equations. Determine its general integral. Animate the solution for given initial conditions. We find the general solution of the Lagrange's equations.
Delta is always positive.
In this case, the solutions of E2 are one positive and one negative. This implies that lambda will have two real solutions and two complex solutions. In this case, the solutions of E2 are one zero and one negative negative. In this case, the solutions of E2 are both real negative. This implies that lambda will have four complex solutions with real part equal to zero.