For which value of a the system of ODES ₁ = sinh(y₁) + a tanh(y2), y2 = -2 cos(y₁) +2e³+32 + tanh(y₂), linearised around (y1, y2) = (0,0) displays an unstable focus? Select one: O a. a < -1/2 O b. a 2 = O c. -1/2 < a < 0 O d. 0 < a < 2
For which value of a the system of ODES ₁ = sinh(y₁) + a tanh(y2), y2 = -2 cos(y₁) +2e³+32 + tanh(y₂), linearised around (y1, y2) = (0,0) displays an unstable focus? Select one: O a. a < -1/2 O b. a 2 = O c. -1/2 < a < 0 O d. 0 < a < 2
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
Section6.3: Implicit Differentiation
Problem 2E
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![For which value of a the system of ODES
y₁ = sinh(y₁) + a tanh(y2), y2 = -2 cos(y₁) +2e³1 +32 + tanh(y2),
linearised around (y1, y2) = (0,0) displays an unstable focus?
Select one:
O a. a < -1/2
O b. a =
O c. -1/2 < a <0
O d. 0< a < 2
= 2
MAG](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cd65f5e-cd9b-4ebd-8782-d68ac507cfe7%2F823e73dd-1612-47e6-a2e2-0b9a0ccb4a6d%2F4lz3l0s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For which value of a the system of ODES
y₁ = sinh(y₁) + a tanh(y2), y2 = -2 cos(y₁) +2e³1 +32 + tanh(y2),
linearised around (y1, y2) = (0,0) displays an unstable focus?
Select one:
O a. a < -1/2
O b. a =
O c. -1/2 < a <0
O d. 0< a < 2
= 2
MAG
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