Program Description: Purpose of the problem is to show that second Picard approximation is y 2 ( x ) = 1 + 2 ( x − 1 ) + 3 ( x − 1 ) 2 + 4 ( x − 1 ) 3 + 2 ( x − 1 ) 4 , then compute y 2 ( 1.1 ) and y 2 ( 1.2 ) for initial value problem d y d x = 1 + y 3 , y ( 1 ) = 1 .

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Answer 1

Question

Chapter A.5, Problem 15P

Program Plan Intro

Program Description: Purpose of the problem is to show that second Picard approximation is y2(x)=1+2(x−1)+3(x−1)2+4(x−1)3+2(x−1)4 , then compute y2(1.1) and y2(1.2) for initial value problem dydx=1+y3,y(1)=1 .

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For this question, refer to the a1q4.py Python code that follows the assignment, as well as the dataprovided after the assignment.(a) Modify the code presented to plot the data from the two separate sets of information(from each region).(b) For each population of squirbos, let ` be the length of their front claws and s the mass ofthe skull. Determine for what value of m the s is isometric to `m. Justify it with your log − log plotsfrom (a) and suitable sketched lines.(c) What do you notice about the correlus striatus on your plot?(d) What historically might explain their situation?

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Question 2 Find the shortest distance between the lines [x, y, z] = [1,0,4] + t[1, 3, −1] and [x, y, z] = [0,2,0] + s[2, 1, 1]. [Do not use derivatives.]

Answer 2

Question

Chapter A.5, Problem 15P

Program Plan Intro

Program Description: Purpose of the problem is to show that second Picard approximation is y2(x)=1+2(x−1)+3(x−1)2+4(x−1)3+2(x−1)4 , then compute y2(1.1) and y2(1.2) for initial value problem dydx=1+y3,y(1)=1 .

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Answer 3

Question

Chapter A.5, Problem 15P

Program Plan Intro

Program Description: Purpose of the problem is to show that second Picard approximation is y2(x)=1+2(x−1)+3(x−1)2+4(x−1)3+2(x−1)4 , then compute y2(1.1) and y2(1.2) for initial value problem dydx=1+y3,y(1)=1 .

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Answer 4

Question

Chapter A.5, Problem 15P

Program Plan Intro

Program Description: Purpose of the problem is to show that second Picard approximation is y2(x)=1+2(x−1)+3(x−1)2+4(x−1)3+2(x−1)4 , then compute y2(1.1) and y2(1.2) for initial value problem dydx=1+y3,y(1)=1 .

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Answer 5

Chapter A.5, Problem 15P

Program Plan Intro

Program Description: Purpose of the problem is to show that second Picard approximation is y2(x)=1+2(x−1)+3(x−1)2+4(x−1)3+2(x−1)4 , then compute y2(1.1) and y2(1.2) for initial value problem dydx=1+y3,y(1)=1 .

Answer 6

Chapter A.5, Problem 15P

Program Plan Intro

Program Description: Purpose of the problem is to show that second Picard approximation is y2(x)=1+2(x−1)+3(x−1)2+4(x−1)3+2(x−1)4 , then compute y2(1.1) and y2(1.2) for initial value problem dydx=1+y3,y(1)=1 .

Answer 7

Chapter A.5, Problem 15P

Program Plan Intro

Program Description: Purpose of the problem is to show that second Picard approximation is y2(x)=1+2(x−1)+3(x−1)2+4(x−1)3+2(x−1)4 , then compute y2(1.1) and y2(1.2) for initial value problem dydx=1+y3,y(1)=1 .

Answer 8

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Answer 11

Ch. A.5 - In Problems 1 through 8, compute the successive...Ch. A.5 - Prob. 2P Ch. A.5 - Prob. 3P Ch. A.5 - Prob. 4P Ch. A.5 - Prob. 5P Ch. A.5 - Prob. 6P Ch. A.5 - Prob. 7P Ch. A.5 - Prob. 8P Ch. A.5 - Prob. 9P Ch. A.5 - Prob. 10P

Program Description: Purpose of the problem is to show that second Picard approximation is y 2 ( x ) = 1 + 2 ( x − 1 ) + 3 ( x − 1 ) 2 + 4 ( x − 1 ) 3 + 2 ( x − 1 ) 4 , then compute y 2 ( 1.1 ) and y 2 ( 1.2 ) for initial value problem d y d x = 1 + y 3 , y ( 1 ) = 1 .

Solution Summary: The author explains the purpose of the problem: to show that second Picard approximation is y_2(x)=1+2

Program Description: Purpose of the problem is to show that second Picard approximation is y2(x)=1+2(x−1)+3(x−1)2+4(x−1)3+2(x−1)4 , then compute y2(1.1) and y2(1.2) for initial value problem dydx=1+y3,y(1)=1 .

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Chapter A Solutions