The table for comparing the value of y ( 1.1 ) , y ( 1.2 ) , y ( 1.3 ) , y ( 1.4 ) and y ( 1.5 ) for the differential equation y ′ = x y + y 2 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 4RE

To determine

The table for comparing the value of y(1.1), y(1.2), y(1.3), y(1.4) and y(1.5) for the differential equation y′=xy+y2 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 4RE

To determine

The table for comparing the value of y(1.1), y(1.2), y(1.3), y(1.4) and y(1.5) for the differential equation y′=xy+y2 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 4RE

To determine

The table for comparing the value of y(1.1), y(1.2), y(1.3), y(1.4) and y(1.5) for the differential equation y′=xy+y2 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 4RE

To determine

The table for comparing the value of y(1.1), y(1.2), y(1.3), y(1.4) and y(1.5) for the differential equation y′=xy+y2 by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

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Answer 5

Chapter 9, Problem 4RE

To determine

The table for comparing the value of y(1.1), y(1.2), y(1.3), y(1.4) and y(1.5) for the differential equation y′=xy+y2 by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

Answer 6

Chapter 9, Problem 4RE

To determine

The table for comparing the value of y(1.1), y(1.2), y(1.3), y(1.4) and y(1.5) for the differential equation y′=xy+y2 by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

Answer 7

Chapter 9, Problem 4RE

To determine

The table for comparing the value of y(1.1), y(1.2), y(1.3), y(1.4) and y(1.5) for the differential equation y′=xy+y2 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 table for comparing the value of y ( 1.1 ) , y ( 1.2 ) , y ( 1.3 ) , y ( 1.4 ) and y ( 1.5 ) for the differential equation y ′ = x y + y 2 by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

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

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The table for comparing the value of y(1.1), y(1.2), y(1.3), y(1.4) and y(1.5) for the differential equation y′=xy+y2 by Euler’s method, Improved Euler’s method and Runga-Kutta method of fourth order.

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Chapter 9 Solutions