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Consider the following first order ODE, 5+9v(t) =8sin(3t), v(0) =5. If the general solution to this differential equation is written as v(t) = Aet/+Bcos(3t) + Csin(3t), find the value of C.

Consider the following first order ODE, 5+9v(t) =8sin(3t), v(0) =5. If the general solution to this differential equation is written as v(t) = Aet/+Bcos(3t) + Csin(3t), find the value of C.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Consider the following first order ODE, 5+9v(t) =8sin(3t), v(0) =5. If the general solution to this differential equation is written as v(t) = Aet/+Bcos(3t) + Csin(3t), find the value of C.
Transcribed Image Text:Consider the following first order ODE, 5+9v(t) =8sin(3t), v(0) =5. If the general solution to this differential equation is written as v(t) = Aet/+Bcos(3t) + Csin(3t), find the value of C.
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