Consider the following equations with small parameter e: (a) er - a = 0 (b) r - a +e = 0 In which case is the perturbation singular or regular? Where possible, approximate the solutions r, up to second order in e by an asymptotic expansion of a,, i.e. calculate ro + ex1 + ea2. Determine the values of the approximation for e 10-2. The "exact" zeros for b) are ! %3D -1.004962991944001, 0.994961991643881, III 0.010001000300120

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