Show that if a and λ are positive constants, and b is any real number, then every solution of the equation y' + ay = beλt has the property that y → 0 as t → ∞. Hint: Consider the cases a = λ and a λ separately.
Show that if a and λ are positive constants, and b is any real number, then every solution of the equation y' + ay = beλt has the property that y → 0 as t → ∞. Hint: Consider the cases a = λ and a λ separately.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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