Apply the improved Euler method to approximate the solution on the interval [0, 0.5] with step size h=0.1. Show values of the approximate solution and the actual solution at the points x=0.1, 0.2, 0.3, 0.4, and 0.5. y'=-y, y(0)=4; y(x)=4e-x

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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Apply the improved Euler method to approximate the solution on the interval [0, 0.5] with step size h=0.1. Show values of the approximate solution and the actual solution at the points x=0.1, 0.2, 0.3, 0.4, and 0.5.

y'=-y, y(0)=4; y(x)=4e-x

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