Question
Let f(x, y) = x/y. We let x = 0.1 and yo = 3 and pick a step size h = 0.2. Euler's method
Let f(x, y) = x/y. We let x = 0.1 and yo = 3 and pick a step size h = 0.2. Euler's method is the the following algorithm. From in and yn, our approximations to the solution of the differential equation at th next stage by computing Xn+1 = xn+h, Complete the following table. Your answers should be accurate to at least seven decimal places. Yn 3 n 0 1 2 3 4 In 0.1 The exact solution can also be found using separation of variables. It is y(x) = = Thus the actual value of the function at the point x = 1.1 y(1.1) Yn+1 = Yn+h. f(xn, Yn).
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Calculus Early Transcendentals
Authors: James Stewart
7th edition
538497904, 978-0538497909
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