Question: 1. (5 points) Consider the ODE m) = 4 me), viz-(0)) = (0,1) . (1 + 511:)2 ' 0 Use Taylor expansion of the right

1. (5 points) Consider the ODE m) = 4 me), viz-(0)) = (0,1) . (1 + 511:)2 ' 0 Use Taylor expansion of the right hand side to obtain an polynomial expression in 8 (so, a nonlinear expression in :1: that has 50 coefcient, one that has 51, and so on). o Solve the resulting equation for the rst two orders in (regular) perturbation theory of :1: in E

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