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 + y²-1, y(0) = 0 The approximate solution values at x = 1.3 begin to agree rounded off to two decimal places between h = 0.01 and h = 0.001. So, a good approximation of y(1.3) is. d to two decimal places as needed.) h = 0.01 and h = 0.001. h = 0.1 and h=0.01. h = 0.001 and h = 0.0001.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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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 -1, y(0) = 0
The approximate solution values at x = 1.3 begin to agree rounded off to two decimal places between
h = 0.01 and h = 0.001.
So, a good approximation of y(1.3) is.
d to two decimal places as needed.)
h = 0.01 and h = 0.001.
h = 0.1 and h=0.01.
h = 0.001 and h = 0.0001.
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 -1, y(0) = 0 The approximate solution values at x = 1.3 begin to agree rounded off to two decimal places between h = 0.01 and h = 0.001. So, a good approximation of y(1.3) is. d to two decimal places as needed.) h = 0.01 and h = 0.001. h = 0.1 and h=0.01. h = 0.001 and h = 0.0001.
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