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Find the solution of the system x'=-4x - 2y, y =-2x - 4y, where primes indicate derivatives with respect to t, that satisfies the initial condition (0) = 1, y(0) = -4. x = Based on the general solution from which you obtained your particular solution, complete the following two statements: The critical point (0,0) is A. unstable B. stable OC. asymptotically stable and is a(n) A. saddle point B. spiral C. center D. node

Find the solution of the system x'=-4x - 2y, y =-2x - 4y, where primes indicate derivatives with respect to t, that satisfies the initial condition (0) = 1, y(0) = -4. x = Based on the general solution from which you obtained your particular solution, complete the following two statements: The critical point (0,0) is A. unstable B. stable OC. asymptotically stable and is a(n) A. saddle point B. spiral C. center D. node

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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Hello! I am having trouble with this Calc 4/Diff EQ question. Thanks, will upvote :) ! Find the solution of the system x'= -4x - 2y, y = -2x - 4y, where primes indicate derivatives with respect to t, that satisfies the initial condition (0) = 1, y(0) = -4. x= y = Based on the general solution from which you obtained your particular solution, complete the following two statements: The critical point (0,0) is O A. unstable O B. stable C. asymptotically stable and is a(n) O A. saddle point O B. spiral C. center D. node 000
Transcribed Image Text:Hello! I am having trouble with this Calc 4/Diff EQ question. Thanks, will upvote :) ! Find the solution of the system x'= -4x - 2y, y = -2x - 4y, where primes indicate derivatives with respect to t, that satisfies the initial condition (0) = 1, y(0) = -4. x= y = Based on the general solution from which you obtained your particular solution, complete the following two statements: The critical point (0,0) is O A. unstable O B. stable C. asymptotically stable and is a(n) O A. saddle point O B. spiral C. center D. node 000
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