To obtain: The approximation for the differential equation y ′ = − 2 x y 2 for n = 4 with the initial condition y ( 0 ) = 1 and b = 0.5 .

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Answer 1

Question

Chapter 9.4, Problem 5E

(a)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 4 with the initial condition y(0)=1 and b=0.5.

(b)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 6 with the initial condition y(0)=1 and b=0.5.

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Please answer question #7 in the pic attached.

Does y =e9-x2-2 exist?

The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, as instructed, to find a second solution y2(x).

Answer 2

Question

Chapter 9.4, Problem 5E

(a)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 4 with the initial condition y(0)=1 and b=0.5.

(b)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 6 with the initial condition y(0)=1 and b=0.5.

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Answer 3

Question

Chapter 9.4, Problem 5E

(a)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 4 with the initial condition y(0)=1 and b=0.5.

(b)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 6 with the initial condition y(0)=1 and b=0.5.

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Answer 4

Question

Chapter 9.4, Problem 5E

(a)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 4 with the initial condition y(0)=1 and b=0.5.

(b)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 6 with the initial condition y(0)=1 and b=0.5.

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Answer 5

Chapter 9.4, Problem 5E

(a)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 4 with the initial condition y(0)=1 and b=0.5.

(b)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 6 with the initial condition y(0)=1 and b=0.5.

Answer 6

Chapter 9.4, Problem 5E

(a)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 4 with the initial condition y(0)=1 and b=0.5.

Answer 7

Chapter 9.4, Problem 5E

(a)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 4 with the initial condition y(0)=1 and b=0.5.

Answer 8

(b)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 6 with the initial condition y(0)=1 and b=0.5.

Answer 9

(b)

To determine

To obtain: The approximation for the differential equation y′=−2xy2 for n = 6 with the initial condition y(0)=1 and b=0.5.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 9.1 - Prob. 1CQ Ch. 9.1 - Prob. 2CQ Ch. 9.1 - Prob. 3CQ Ch. 9.1 - Prob. 4CQ Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E

To obtain: The approximation for the differential equation y ′ = − 2 x y 2 for n = 4 with the initial condition y ( 0 ) = 1 and b = 0.5 .

Solution Summary: The author explains Euler's method for obtaining the approximation for the differential equation yprime.

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To obtain: The approximation for the differential equation y′=−2xy2 for n = 4 with the initial condition y(0)=1 and b=0.5.

To obtain: The approximation for the differential equation y′=−2xy2 for n = 6 with the initial condition y(0)=1 and b=0.5.

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