1 (a) Draw a direction field and sketch a few trajectories. (b) Describe how the solutions behave as t → ∞o. (c) Find the general solution of the system of equations. 3-*-(-))* 3. x' =

1 (a) Draw a direction field and sketch a few trajectories. (b) Describe how the solutions behave as t → ∞o. (c) Find the general solution of the system of equations. 3--(-)) 3. x' =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.CR: Chapter 9 Review

Problem 54CR

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Question

please do it complete a,b and c with drawing.

(a) Draw a direction field and sketch a few trajectories.
(b) Describe how the solutions behave as t → ∞o.
(c) Find the general solution of the system of equations.
/ ³.x = (- -)*
1
3. x'

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Step 1: Determine the eigen values

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Step 2: Determine the eigenvectors and general solution.

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Step 3: Determine the limiting behaviour

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Step 4: Sketch the direction field

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