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1. Use the Euler's method with h=0.1 to find a 4-decimal approximation of y(0.5) where y(x) is the solution of the initial-value problem y' = (x + y − 1)², y (0) = 2.

1. Use the Euler's method with h=0.1 to find a 4-decimal approximation of y(0.5) where y(x) is the solution of the initial-value problem y' = (x + y − 1)², y (0) = 2.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
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1. Use the Euler's method with h=0.1 to find a 4-decimal approximation of y(0.5) where y(x) is the solution of the initial-value problem y' = (x + y − 1)², y (0) = 2. 2. Use Improved Euler's method with h=0.1 to find a 4-decimal approximation y(0.5) where y(x) is the solution of the initial-value problem y' = (x + y − 1)², y (0) = 2.
Transcribed Image Text:1. Use the Euler's method with h=0.1 to find a 4-decimal approximation of y(0.5) where y(x) is the solution of the initial-value problem y' = (x + y − 1)², y (0) = 2. 2. Use Improved Euler's method with h=0.1 to find a 4-decimal approximation y(0.5) where y(x) is the solution of the initial-value problem y' = (x + y − 1)², y (0) = 2.
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