Given y(4) - 6y" - 36y" +216y' = t² +8+ t sint, determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Do not evaluate the constants. A suitable form of Y(t) is: Y(t): = t(Aot² + A₁t+ A₂) + Bot cost + Cot sin t
Given y(4) - 6y" - 36y" +216y' = t² +8+ t sint, determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Do not evaluate the constants. A suitable form of Y(t) is: Y(t): = t(Aot² + A₁t+ A₂) + Bot cost + Cot sin t
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Question
![Given y(4) 6y" — 36y" + 216y' = t² +8+ tsint,
determine a suitable form for Y(t) if the method of undetermined
coefficients is to be used. Do not evaluate the constants.
A suitable form of Y(t) is:
Y(t) =|t(Aot² + A₁t + A₂) + Bot cost + Cot sin t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e2a64f4-b2b8-48fb-bc55-e02c2928472b%2F9f040ba4-f142-4b44-b1e0-97d3d54ee5f0%2Fhwr135l_processed.png&w=3840&q=75)
Transcribed Image Text:Given y(4) 6y" — 36y" + 216y' = t² +8+ tsint,
determine a suitable form for Y(t) if the method of undetermined
coefficients is to be used. Do not evaluate the constants.
A suitable form of Y(t) is:
Y(t) =|t(Aot² + A₁t + A₂) + Bot cost + Cot sin t
![determin
coefficiel
A suitab
Y(t)
:3
=
Choose one
Aot + A₁+ Bot cost + Cot sin t
t(Aot + A₁) + (Bo + B₁t) cost + (Co + C₁t) sint
t(Aot² + A₁t + A₂) + Bot cost + Cot sin t
t(Aot² + A₁t + A₂) + (Bo + B₁t) cost+ (Co + C₁t) sin t
Aot² + A₁t + A2 + (Bo + B₁t) cost + (Co + C₁t) sin t
t(Aot² + A₁t) + Bo cost+ (Co + С₁t) sint
Aot² + A₁t+ A2+ Bo cost + Co sin t
t(Aot + A₁) + Bo cost + Co sint](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e2a64f4-b2b8-48fb-bc55-e02c2928472b%2F9f040ba4-f142-4b44-b1e0-97d3d54ee5f0%2Ffrk054p_processed.png&w=3840&q=75)
Transcribed Image Text:determin
coefficiel
A suitab
Y(t)
:3
=
Choose one
Aot + A₁+ Bot cost + Cot sin t
t(Aot + A₁) + (Bo + B₁t) cost + (Co + C₁t) sint
t(Aot² + A₁t + A₂) + Bot cost + Cot sin t
t(Aot² + A₁t + A₂) + (Bo + B₁t) cost+ (Co + C₁t) sin t
Aot² + A₁t + A2 + (Bo + B₁t) cost + (Co + C₁t) sin t
t(Aot² + A₁t) + Bo cost+ (Co + С₁t) sint
Aot² + A₁t+ A2+ Bo cost + Co sin t
t(Aot + A₁) + Bo cost + Co sint
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