Use Euler's Method with the given step size 4x to approximate the solution of the initial-value problem over the stated interval. dy = dx √√y, y(0) = 1, 0 ≤ x ≤ 2, Ax = 0.5 Carry out all calculations exactly, round to 2 decimal places the final answers only. n Xn 1 0.5 2 1.0 3 1.5 4 2.0 i Уп

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
Question
Use Euler's Method with the given step size 4x to approximate the solution of the initial-value problem over the stated interval.
dy
=
dx
√√y, y(0)
= 1, 0 ≤ x ≤ 2, Ax
=
0.5
Carry out all calculations exactly, round to 2 decimal places the final answers only.
n
Xn
1 0.5
2 1.0
3 1.5
4 2.0
i
Уп
Transcribed Image Text:Use Euler's Method with the given step size 4x to approximate the solution of the initial-value problem over the stated interval. dy = dx √√y, y(0) = 1, 0 ≤ x ≤ 2, Ax = 0.5 Carry out all calculations exactly, round to 2 decimal places the final answers only. n Xn 1 0.5 2 1.0 3 1.5 4 2.0 i Уп
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