For each system in Exercises 1 and 2, (a) find the general solution; (b) determine if the origin is a spiral sink, a spiral source, or a center; (e) determine the direction of the oscillation in the phase plane (do the solutions go clockwise or counterclockwise around the origin?); (d) determine the natural period and natural frequency of the oscillations; and (e) find the particular solution with the given initial value. dY dY ¹.Z - (-23) Y 2. -#- (-21) Y Initial condition Yo = (1,0) Initial condition Yo = (-1,1)

For each system in Exercises 1 and 2, (a) find the general solution; (b) determine if the origin is a spiral sink, a spiral source, or a center; (e) determine the direction of the oscillation in the phase plane (do the solutions go clockwise or counterclockwise around the origin?); (d) determine the natural period and natural frequency of the oscillations; and (e) find the particular solution with the given initial value. dY dY ¹.Z - (-23) Y 2. -#- (-21) Y Initial condition Yo = (1,0) Initial condition Yo = (-1,1)

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.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

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