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3) Consider the differential equation y″−(2α−3)y′+α(α−3)y=0 (a) Determine the values of α for which all solutions tend to zero as t→∞ Interval: ……………..?…………….. (b) Determine the values of α for which all (nonzero) solutions become unbounded as t→∞ Interval:…………….?……………..

/in /by

3) Consider the differential

equation

y″−(2α−3)y′+α(α−3)y=0

(a) Determine the values of α for which all solutions tend to zero as t→∞

Interval: ……………..?……………..

(b) Determine the values of α for which all (nonzero) solutions become unbounded as t→∞

Interval:…………….?……………..

 
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