(a) Explanation Consider the given differential equations with the given points. y ′ = 0.2 x 2 + y , y ( 0 ) = 1 2 Here, Geogebra slope and direction field plotter is used to plot the given differential equation y ′ = 0 (b) To determine To sketch: The direction field for the given differential equation d y d x = 0.2 x 2 + y using computer software and also sketch an approximate solution curve passing through the given point y ( 2 ) = − 1 .

9th Edition

ISBN: 9781337292405

Author: ZILL

Publisher: CENGAGE L

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Differential Equations

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Chapter 2.1, Problem 9E

(a)

To determine

To sketch: The direction field for the given differential equation dydx=0.2x2+y using computer software and also sketch an approximate solution curve passing through the given point y(0)=12.

(b)

To determine

To sketch: The direction field for the given differential equation dydx=0.2x2+y using computer software and also sketch an approximate solution curve passing through the given point y(2)=−1.

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Chapter 2.1, Problem 8E

Chapter 2.1, Problem 10E

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Chapter 2 Solutions

DIFF.EQUAT.W/BOUNDARY-VALUE...(LL)-TEXT

Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - dydx=1xy (a) y(0) = 0 (b) y(1) = 0 (c) y(2) = 2...Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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The direction field for the given differential equation d y d x = 0.2 x 2 + y using computer software and also sketch an approximate solution curve passing through the given point y ( 0 ) = 1 2 .

Solution Summary: The author illustrates how Geogebra slope and direction field plotter are used to plot the given differential equation.