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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 -

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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