Suppose that we use Euler's method to approximate the solution to the differential equation dy y(0.2) = 9. dz Let f(z, y) = r'/y. We let ro 0.2 and 9 and pick a step size h following algorithm. From , and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing 0.2. Euler's method is the the %3D In+1 = In +h, Yn+1 = Yn +h f(In, Yn). Complete the following table. Your answers should be accurate to at least seven decimal places. 7n In Yn 01 0.2 9. 3 4 The exact solution can also be found using separation of variables. It is y(z) = Thus the actual value of the function at the pointz= 1.2 y(1.2) = 2]
Suppose that we use Euler's method to approximate the solution to the differential equation dy y(0.2) = 9. dz Let f(z, y) = r'/y. We let ro 0.2 and 9 and pick a step size h following algorithm. From , and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing 0.2. Euler's method is the the %3D In+1 = In +h, Yn+1 = Yn +h f(In, Yn). Complete the following table. Your answers should be accurate to at least seven decimal places. 7n In Yn 01 0.2 9. 3 4 The exact solution can also be found using separation of variables. It is y(z) = Thus the actual value of the function at the pointz= 1.2 y(1.2) = 2]
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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