Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the initial-value problem = x - xy, y(1) = 2. 1. Estimate y(1.4) with a step size h = 0.2. Answer: y(1.4) 0.392 2. Estimate y(1.4) with a step size h = 0.1. Answer: y(1.4) 0.3867544

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the initial-value problem
y' = x – xy, y(1) = 2.
1. Estimate y(1.4) with a step size h = 0.2.
Answer: y(1.4) 0.392
2. Estimate y(1.4) with a step size h = 0.1.
Answer: y(1.4)
0.3867544
Transcribed Image Text:Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the initial-value problem y' = x – xy, y(1) = 2. 1. Estimate y(1.4) with a step size h = 0.2. Answer: y(1.4) 0.392 2. Estimate y(1.4) with a step size h = 0.1. Answer: y(1.4) 0.3867544
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