The approximate values of the solution x = ϕ ( t ) , y = ψ ( t ) at t = 0.2 , 0.4 , 0.6 , 0.8 and 1 .0 by using the Euler method with h = 0.1 .

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Answer 1

Question

Chapter 8.5, Problem 1P

(a)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Euler method with h=0.1.

(b)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.2.

(c)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.1.

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Answer 2

Question

Chapter 8.5, Problem 1P

(a)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Euler method with h=0.1.

(b)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.2.

(c)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.1.

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Answer 3

Question

Chapter 8.5, Problem 1P

(a)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Euler method with h=0.1.

(b)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.2.

(c)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.1.

Expert Solution & Answer

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Answer 4

Question

Chapter 8.5, Problem 1P

(a)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Euler method with h=0.1.

(b)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.2.

(c)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.1.

Expert Solution & Answer

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Answer 5

Chapter 8.5, Problem 1P

(a)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Euler method with h=0.1.

(b)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.2.

(c)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.1.

Answer 6

Chapter 8.5, Problem 1P

(a)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Euler method with h=0.1.

Answer 7

Chapter 8.5, Problem 1P

(a)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Euler method with h=0.1.

Answer 8

(b)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.2.

Answer 9

(b)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.2.

Answer 10

(c)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.1.

Answer 11

(c)

To determine

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.1.

Answer 12

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Answer 13

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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 x = ϕ ( t ) , y = ψ ( t ) at t = 0.2 , 0.4 , 0.6 , 0.8 and 1 .0 by using the Euler method with h = 0.1 .

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Euler method with h=0.1.

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.2.

The approximate values of the solution x=ϕ(t),y=ψ(t) at t=0.2,0.4,0.6,0.8 and 1.0 by using the Runga-Kutta method with h=0.1.

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