-2t A particular solution of the equation y" + y − 2y = 3te has the form O e 2t (At+B) + Ct cos(2t) + Dt sin(2t) −2t (At² + Bt) + Ct cos (2t) + Dt sin(2t) O e−2t (At² + Bt) + C cos(2t) + D sin(2t) + cos(2t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 5E
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- 2t
A particular solution of the equation y" + y − 2y = 3te¯ + cos(2t)
has the form
-2t (At+B) + Ct cos(2t) + Dt sin(2t)
e-2t (At² + Bt) + Ct cos(2t) + Dt sin(2t)
e−²t (At² + Bt) + C cos(2t) + D sin(2t)
O e 2t (At+B) + C cos(2t) + D sin(2t)
Transcribed Image Text:- 2t A particular solution of the equation y" + y − 2y = 3te¯ + cos(2t) has the form -2t (At+B) + Ct cos(2t) + Dt sin(2t) e-2t (At² + Bt) + Ct cos(2t) + Dt sin(2t) e−²t (At² + Bt) + C cos(2t) + D sin(2t) O e 2t (At+B) + C cos(2t) + D sin(2t)
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