There is one steady state solution of the system below. Determine its stability. *'=y(1+x)2 y'=y-e O a. asymptotically stable O b. none of the above C. neutrally stable O d. unstable O e. indeterminate

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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QUESTION 7
There is one steady state solution of the system below. Determine its stability.
x'=y(1+x)2
y'=y-e"
O a. asymptotically stable
O b. none of the above
O c. neutrally stable
O d. unstable
O e. indeterminate
QUESTION 8
The steady state solution of y35y-3e-ay is y=0. Give a value of a so y=0 is asymptotically
Transcribed Image Text:QUESTION 7 There is one steady state solution of the system below. Determine its stability. x'=y(1+x)2 y'=y-e" O a. asymptotically stable O b. none of the above O c. neutrally stable O d. unstable O e. indeterminate QUESTION 8 The steady state solution of y35y-3e-ay is y=0. Give a value of a so y=0 is asymptotically
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