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14. y" + 2y15y = 3H(-2).

14. y" + 2y15y = 3H(-2).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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In Problems 13-15, find a particular solution using the "definite integral" form of Variation of Parameters. This formula reads Up(t) = f* g(t = T)q(T) dT, where the form of the growth factor depends on the roots of the characteristic equation: e³2(t-T) - e$1(t-T) 82-81 g(t-T)=(t-T)e*(t-T), ea(t-T) 14. y" + 2y15y = 3H(t-2). 15. y" - 2y + 5y = 26 (t-3). sin(w(t-T)) distinct roots 81, 82, repeated root 8, 8 = a ±iw.
Transcribed Image Text:In Problems 13-15, find a particular solution using the "definite integral" form of Variation of Parameters. This formula reads Up(t) = f* g(t = T)q(T) dT, where the form of the growth factor depends on the roots of the characteristic equation: e³2(t-T) - e$1(t-T) 82-81 g(t-T)=(t-T)e*(t-T), ea(t-T) 14. y" + 2y15y = 3H(t-2). 15. y" - 2y + 5y = 26 (t-3). sin(w(t-T)) distinct roots 81, 82, repeated root 8, 8 = a ±iw.
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