The analytic solution of the initial value problem y ′ = x + y − 1 , y ( 0 ) = 1 and compare the actual values y ( 0.2 ) , y ( 0.4 ) , y ( 0.6 ) and y ( 0.8 ) with approximate values in example 1.

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Chapter 9.3, Problem 1E

To determine

The analytic solution of the initial value problem y′=x+y−1, y(0)=1 and compare the actual values y(0.2), y(0.4), y(0.6) and y(0.8) with approximate values in example 1.

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A population that is uniformly distributed between a=0and b=10 is given in sample sizes 50( ), 100( ), 250( ), and 500( ). Find the sample mean and the sample standard deviations for the given data. Compare your results to the average of means for a sample of size 10, and use the empirical rules to analyze the sampling error. For each sample, also find the standard error of the mean using formula given below. Standard Error of the Mean =sigma/Root Complete the following table with the results from the sampling experiment. (Round to four decimal places as needed.) Sample Size Average of 8 Sample Means Standard Deviation of 8 Sample Means Standard Error 50 100 250 500

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Answer 2

Question

Chapter 9.3, Problem 1E

To determine

The analytic solution of the initial value problem y′=x+y−1, y(0)=1 and compare the actual values y(0.2), y(0.4), y(0.6) and y(0.8) with approximate values in example 1.

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Answer 3

Question

Chapter 9.3, Problem 1E

To determine

The analytic solution of the initial value problem y′=x+y−1, y(0)=1 and compare the actual values y(0.2), y(0.4), y(0.6) and y(0.8) with approximate values in example 1.

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Answer 4

Question

Chapter 9.3, Problem 1E

To determine

The analytic solution of the initial value problem y′=x+y−1, y(0)=1 and compare the actual values y(0.2), y(0.4), y(0.6) and y(0.8) with approximate values in example 1.

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Answer 5

Chapter 9.3, Problem 1E

To determine

The analytic solution of the initial value problem y′=x+y−1, y(0)=1 and compare the actual values y(0.2), y(0.4), y(0.6) and y(0.8) with approximate values in example 1.

Answer 6

Chapter 9.3, Problem 1E

To determine

The analytic solution of the initial value problem y′=x+y−1, y(0)=1 and compare the actual values y(0.2), y(0.4), y(0.6) and y(0.8) with approximate values in example 1.

Answer 7

Chapter 9.3, Problem 1E

To determine

The analytic solution of the initial value problem y′=x+y−1, y(0)=1 and compare the actual values y(0.2), y(0.4), y(0.6) and y(0.8) with approximate values in example 1.

Answer 8

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Answer 9

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Answer 10

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Answer 11

The analytic solution of the initial value problem y ′ = x + y − 1 , y ( 0 ) = 1 and compare the actual values y ( 0.2 ) , y ( 0.4 ) , y ( 0.6 ) and y ( 0.8 ) with approximate values in example 1.

Solution Summary: The author explains the analytic solution of the initial value problem yprime. The linear differential equation is rewritten as follows.

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The analytic solution of the initial value problem y′=x+y−1, y(0)=1 and compare the actual values y(0.2), y(0.4), y(0.6) and y(0.8) with approximate values in example 1.

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