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For which value of a the system of ODEs ỷ₁ = sinh(y₁) + a tanh(y₂), y₂ = −2 cos(y₁) + 2e³¹+½ + tanh(y₂), linearised around (y₁, y₂) = (0,0) displays an unstable focus? Select one: a. −1/2 < a < 0 O b. a = 2 O c. 0 < a <2 O d. a < -1/2

For which value of a the system of ODEs ỷ₁ = sinh(y₁) + a tanh(y₂), y₂ = −2 cos(y₁) + 2e³¹+½ + tanh(y₂), linearised around (y₁, y₂) = (0,0) displays an unstable focus? Select one: a. −1/2 < a < 0 O b. a = 2 O c. 0 < a <2 O d. a < -1/2

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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ỳ₁ For which value of a the system of ODEs sinh(yı) + a tanh(y2), 32 (y₁, y₂) = (0, 0) displays an unstable focus? = Select one: a. -1/2 < a < 0 O b. a = 2 O c. 0 < a < 2 O d. a < -1/2 y₂ = -2 cos(y₁) + 2e³¹+½ + tanh(y₂), linearised around
Transcribed Image Text:ỳ₁ For which value of a the system of ODEs sinh(yı) + a tanh(y2), 32 (y₁, y₂) = (0, 0) displays an unstable focus? = Select one: a. -1/2 < a < 0 O b. a = 2 O c. 0 < a < 2 O d. a < -1/2 y₂ = -2 cos(y₁) + 2e³¹+½ + tanh(y₂), linearised around
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