Unformatted text preview: ﬁx“ ﬁz/soﬂr Wm g Solve the cubic equation s2x3-x2+x—e=o; ' e<<1, by Newton’s method. (a) First solve it only to leading order and, for each root; indicate
which terms balance each other and why the remaining terms may be
neglected (i.e., indicate the order of each term for a given root). (b) Obtain, recursively (iteratively), the next order correction for each of the three roots. '\ ...
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- Fall '08