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Given the following linear system of ODE: V₁' = 4y1+2V2 V₂' = 10/1-4/2 what is the type of the critical point? the critical point is improper node the critical point is center the critical point is spiral the critical point is saddle the critical point is proper node

Given the following linear system of ODE: V₁' = 4y1+2V2 V₂' = 10/1-4/2 what is the type of the critical point? the critical point is improper node the critical point is center the critical point is spiral the critical point is saddle the critical point is proper node

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.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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Given the following linear system of ODE: V₁' = 4y1+2V₂ V₂' = 10/1-4/2 what is the type of the critical point? the critical point is improper node the critical point is center the critical point is spiral O the critical point is saddle the critical point is proper node
Transcribed Image Text:Given the following linear system of ODE: V₁' = 4y1+2V₂ V₂' = 10/1-4/2 what is the type of the critical point? the critical point is improper node the critical point is center the critical point is spiral O the critical point is saddle the critical point is proper node
Given ODE as following: xy" + xy' - 4y = x 2. what is the general solution? -2 y=C₁x² + ₂x² + C3x-3 -3 -2 y=x² + x²+x=³ Ov=C₁x² + ₂x-² Oy=c₁x² + C₂x¯²+3x¯5 -2 OV=C₁x² + ₂x² +0.2x-³
Transcribed Image Text:Given ODE as following: xy" + xy' - 4y = x 2. what is the general solution? -2 y=C₁x² + ₂x² + C3x-3 -3 -2 y=x² + x²+x=³ Ov=C₁x² + ₂x-² Oy=c₁x² + C₂x¯²+3x¯5 -2 OV=C₁x² + ₂x² +0.2x-³
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