The approximate values of the solution at given initial value by fourth order predictor–corrector method with h = 0.1 at t = 0.4 , and t = 0.5 .

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Answer 1

Question

Chapter 8.4, Problem 2P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

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Solve the initial value problem: y' = x3 + y³ 3 , y(1) = 2 xy² y(x) = Hint: Notice that the equation on the right is homogeneous and see Homework exercise 23 in section 1.2 of our textbook to review techniques for solving homogeneous equations. Note that we've been given an intial value of the form y(a) = b where a > 0, so this only determines a solution corresponding to the right half of the graph of In(x), i.e., the part of the graph corresponding to positive values of x. Therefore, we should write In(x) instead of ln(|x|), since the left half of the graph is not determined by the initial condition given.

Answer 2

Question

Chapter 8.4, Problem 2P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 3

Question

Chapter 8.4, Problem 2P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Expert Solution & Answer

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Answer 4

Question

Chapter 8.4, Problem 2P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 5

Chapter 8.4, Problem 2P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Answer 6

Chapter 8.4, Problem 2P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

Answer 7

Chapter 8.4, Problem 2P

(a)

To determine

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

Answer 8

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

Answer 9

(b)

To determine

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

Answer 10

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Answer 11

(c)

To determine

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 8.1 - Prob. 1P Ch. 8.1 - In each of Problems 1 through 6, find approximate...Ch. 8.1 - In each of Problems 1 through 6, find approximate...Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 9P Ch. 8.1 - Prob. 10P

The approximate values of the solution at given initial value by fourth order predictor–corrector method with h = 0.1 at t = 0.4 , and t = 0.5 .

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The approximate values of the solution at given initial value by fourth order predictor–corrector method with h=0.1 at t=0.4, and t=0.5.

The approximate values of the solution at given initial value by the fourth order Adams–Moulton method with h=0.1.

The approximate values of the solution at given initial value by Use the fourth order backward differentiation method with h=0.1.

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