ME 391- Final Exam Guide - Comprehensive Notes for the exam ( 73 pages long!)
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For problems 2 and 6, state the order of the given ordinary di erential equation. Determine whether the equation is linear or non-linear by matching it with (6). 1. 1 #23: verify that the indicated family of functions is a solution of the given di erential equation. Assume an appropriate interval i of de nition for each solution. Determine a region of the xy-plane for which the given di erential equation would have a unique solution whose graph passes through a point (x , y ) in the region. Find a solution from the family in part (a) that satis es y(0) = 1. Find a solution from the family in part (a) that satis es y(0) = -1. Determine e largest interval i of de nition for the solution of each ivp. 2. 6 #1: use euler"s method to obtain a four-decimal approximation of the indicated value.
