MATH 2574H Study Guide - Midterm Guide: Integrating Factor, Partial Fraction Decomposition, Product Rule

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15 Jul 2014
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Rearrange all equations to look like whatever form you are trying to solve. Don"t forget to try partial fractions if an integral doesn"t seem solvable. You don"t necessarily have to solve for y explicitly, as long as you"ve integrated and have some sort of a solution (but solve for y when feasible) When finding an integrating factor to make an equation look exact, don"t just look at the functions m and n to determine beforehand that you can"t get a function of y or just x. There may be multiple ways to solve the problem, so try to find the easiest way to save time and make less mistakes. Write down the different techniques in order of master list and then cross them off (y , sep, lin, ber, hom, exact, exact sub) First order linear ode dy dx: form, solution.