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dy/dx = -x/y, dy/dx = y(2-y), dy/dx = x+y, y(0) = 4 = 3 y(0) y(0) 1 (o -

dy/dx = -x/y, dy/dx = y(2-y), dy/dx = x+y, y(0) = 4 = 3 y(0) y(0) 1 (o -

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter21: Direct And Inverse Proportions
Section: Chapter Questions
Problem 16A: Figure 219 shows a compound gear train. Gears B and C are keyed to the same shaft; therefore, they...
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In many of the problems below, it will be helpful to have a calculator or computer available. You may also find it con- venient to write a program for solving initial value problems using Euler's method. (Remember, all trigonometric calcula- tions are done in radians.) In Problems 1-4, use Euler's method to approximate the solution to the given initial value problem at the points x = 0.1, 0.2, 0.3, 0.4, and 0.5, using steps of size 0.1 (h = 0.1). (1) dy/dx = -x/y, 2. dy/dx = y(2-y), 3. dy/dx = x+y, 4. dy/dx = x/y, y(0) = 4 y (0) = 3 y (0) = 1 y(0) = -1
Transcribed Image Text:In many of the problems below, it will be helpful to have a calculator or computer available. You may also find it con- venient to write a program for solving initial value problems using Euler's method. (Remember, all trigonometric calcula- tions are done in radians.) In Problems 1-4, use Euler's method to approximate the solution to the given initial value problem at the points x = 0.1, 0.2, 0.3, 0.4, and 0.5, using steps of size 0.1 (h = 0.1). (1) dy/dx = -x/y, 2. dy/dx = y(2-y), 3. dy/dx = x+y, 4. dy/dx = x/y, y(0) = 4 y (0) = 3 y (0) = 1 y(0) = -1
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