Consider the equation y" - 36y = 6 cos (6t) + 6 + e6t. According to the method of Undetermined Coefficients, the particular solution has the form: O A. C₁t cos(6t) + C₂t sin(6t) + C3t+ Catet + C5te-61 O B. C₁ cos(6t) + C₂ sin(6t) + C3 + Catet O c. C₁ cos(6t) + С₂6 + С3e6t O D. C₁ cos(6t) + C₂ sin(6t) + C3 + С₁eºt O E. none of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 3E
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Consider the equation y" — 36y = 6 cos(6t) + 6 + et. According to the method of Undetermined Coefficients, the particular solution has
the form:
A. C₁t cos(6t) + C2t sin(6t) + C3t + Сâteºt + С5te-6
B. C₁ cos(6t) + C2 sin(6t) + C3 + Catet
c. C₁ cos(6t) + С₂6 + С3e6t
D. C₁ cos(6t) + C2 sin(6t) + C3 + С4eᵒt
E. none of the above
Transcribed Image Text:Consider the equation y" — 36y = 6 cos(6t) + 6 + et. According to the method of Undetermined Coefficients, the particular solution has the form: A. C₁t cos(6t) + C2t sin(6t) + C3t + Сâteºt + С5te-6 B. C₁ cos(6t) + C2 sin(6t) + C3 + Catet c. C₁ cos(6t) + С₂6 + С3e6t D. C₁ cos(6t) + C2 sin(6t) + C3 + С4eᵒt E. none of the above
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