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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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