The value of y ( 0.6 ) , y ( 0.7 ) , y ( 0.8 ) , y ( 0.9 ) and y ( 1.0 ) for the differential equation y ′ = x + y by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

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Answer 1

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Chapter 9, Problem 3RE

To determine

The value of y(0.6), y(0.7), y(0.8), y(0.9) and y(1.0) for the differential equation y′=x+y by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

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Answer 2

Question

Chapter 9, Problem 3RE

To determine

The value of y(0.6), y(0.7), y(0.8), y(0.9) and y(1.0) for the differential equation y′=x+y by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

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Answer 3

Question

Chapter 9, Problem 3RE

To determine

The value of y(0.6), y(0.7), y(0.8), y(0.9) and y(1.0) for the differential equation y′=x+y by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

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Answer 4

Question

Chapter 9, Problem 3RE

To determine

The value of y(0.6), y(0.7), y(0.8), y(0.9) and y(1.0) for the differential equation y′=x+y by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

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Answer 5

Chapter 9, Problem 3RE

To determine

The value of y(0.6), y(0.7), y(0.8), y(0.9) and y(1.0) for the differential equation y′=x+y by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

Answer 6

Chapter 9, Problem 3RE

To determine

The value of y(0.6), y(0.7), y(0.8), y(0.9) and y(1.0) for the differential equation y′=x+y by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

Answer 7

Chapter 9, Problem 3RE

To determine

The value of y(0.6), y(0.7), y(0.8), y(0.9) and y(1.0) for the differential equation y′=x+y by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

Answer 8

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Answer 9

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Answer 10

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Answer 11

The value of y ( 0.6 ) , y ( 0.7 ) , y ( 0.8 ) , y ( 0.9 ) and y ( 1.0 ) for the differential equation y ′ = x + y by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

Solution Summary: The author describes the Runga-Kutta method of fourth order and Euler's method.

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The value of y(0.6), y(0.7), y(0.8), y(0.9) and y(1.0) for the differential equation y′=x+y by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

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Chapter 9 Solutions