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Differential EquationsEasyNonlinear Systems & Linearization

Nonlinear Systems & Linearization · Easy problem

For the system x′=y,  y′=x−x3x' = y,\; y' = x - x^3, the energy E(x,y)=y22−x22+x44E(x, y) = \dfrac{y^2}{2} - \dfrac{x^2}{2} + \dfrac{x^4}{4} is conserved. Find the value of EE on the trajectory through (2,1)(2, 1).