Use Euler's method to approximate y(1.3). Start with step size h = 0.1, and then use successively smaller step sizes (h= 0.01, 0.001, 0.0001, etc.) until successive approximate solution values at x = 1.3 agree rounded off to two decimal places. y' = x² + y²-2, y(0) = 0 The approximate solution values at x = 1.3 begin to agree rounded off to two decimal places between y(1.3) is. (Type an integer or decimal rounded to two decimal places as needed.) So, a good approximation of

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Use Euler's method to approximate y(1.3). Start with step size h = 0.1, and then use successively smaller step sizes (h=0.01, 0.001, 0.0001, etc.) until successive
approximate solution values at x = 1.3 agree rounded off to two decimal places.
y'=x² + y²-2, y(0) = 0
The approximate solution values at x = 1.3 begin to agree rounded off to two decimal places between
y(1.3) is.
(Type an integer or decimal rounded to two decimal places as needed.)
So, a good approximation of
Transcribed Image Text:Use Euler's method to approximate y(1.3). Start with step size h = 0.1, and then use successively smaller step sizes (h=0.01, 0.001, 0.0001, etc.) until successive approximate solution values at x = 1.3 agree rounded off to two decimal places. y'=x² + y²-2, y(0) = 0 The approximate solution values at x = 1.3 begin to agree rounded off to two decimal places between y(1.3) is. (Type an integer or decimal rounded to two decimal places as needed.) So, a good approximation of
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