Consider the autonomous first-order differential equation y = 10 + 3y – y? Find the DISTINCT critical points and classify each as (1) AS for Asymptotically Stable, (2) US for Unstable or (3) SS for Semi-Stable. Enter your answer as a comma separated list of pairs consisting on a critical point and its stability type (e.g. your answer might look like (2,AS), (-3,SS), (7,US) ) Critical Point and Stability: For the initial value problem y' = 10 + 3y – y, y(0) = 3 we have lim y(x) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the autonomous first-order differential equation
y = 10 + 3y – y²
Find the DISTINCT critical points and classify each as (1) AS for Asymptotically Stable, (2) US for Unstable or (3) SS for Semi-Stable.
Enter your answer as a comma separated list of pairs consisting on a critical point and its stability type (e.g. your answer might look like (2,AS), (-3,SS), (7,US))
Critical Point and Stability:
For the initial value problem y' = 10 + 3y – y, y(0) = 3 we have lim y(x)
Transcribed Image Text:Consider the autonomous first-order differential equation y = 10 + 3y – y² Find the DISTINCT critical points and classify each as (1) AS for Asymptotically Stable, (2) US for Unstable or (3) SS for Semi-Stable. Enter your answer as a comma separated list of pairs consisting on a critical point and its stability type (e.g. your answer might look like (2,AS), (-3,SS), (7,US)) Critical Point and Stability: For the initial value problem y' = 10 + 3y – y, y(0) = 3 we have lim y(x)
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