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dx/dt = 4x + 4y − x(x^2 + y^2 ) dy/dt = −4x + 4y− y(x^2 +y^2 ) GIVEN THE SYSTEM PLEASE FINA A GENERAL SOLUTION, S.T. y=y(t) and x=x(t) USE IT IN ORDER TO FIND A PERIODIC SOLUTION CORRESPONDING TO THE CLOSED PATH BETWEEN CIRCLES r=1 and r=3

dx/dt = 4x + 4y − x(x^2 + y^2 ) dy/dt = −4x + 4y− y(x^2 +y^2 ) GIVEN THE SYSTEM PLEASE FINA A GENERAL SOLUTION, S.T. y=y(t) and x=x(t) USE IT IN ORDER TO FIND A PERIODIC SOLUTION CORRESPONDING TO THE CLOSED PATH BETWEEN CIRCLES r=1 and r=3

Calculus For The Life Sciences
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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 38CR
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dx/dt = 4x + 4y − x(x^2 + y^2 )

dy/dt = −4x + 4y− y(x^2 +y^2 )

GIVEN THE SYSTEM PLEASE FINA A GENERAL SOLUTION, S.T. y=y(t) and x=x(t)

USE IT IN ORDER TO FIND A PERIODIC SOLUTION CORRESPONDING TO THE CLOSED PATH BETWEEN CIRCLES r=1 and r=3

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