Condsider the ODE with co = 9, c₁ = 4, ... Assuming a particular solution of the form where the forcing function is given by the Fourier series ao a1 61 find and enter the exact values of an and bn requested below. 3/2 1/3 d² dt² = 1/3 x (t) + 5 · (d x (t)) + 6 x (t) = F (t) FO F(t) = co + Σ00_₁ în sin (nt), n=1 xp (t) = a +Σ1 (an cos (n t) +bn sin (nt)) n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Condsider the ODE
with co = 9, c₁ = 4, ...
Assuming a particular solution of the form
where the forcing function is given by the Fourier series
ao
a1
b1
find and enter the exact values of an and bn requested below.
3/2
1/3
d²
dt²
1/3
x (t) + 5 · (dx (t)) + 6 x (t) = F (t)
AGI
F (t) = co + Σ%=1 ºn sin (n t),
xp (t) = ª₁ +Σ1 (an cos (n t) + bê sin (n t))
n=1
Transcribed Image Text:Condsider the ODE with co = 9, c₁ = 4, ... Assuming a particular solution of the form where the forcing function is given by the Fourier series ao a1 b1 find and enter the exact values of an and bn requested below. 3/2 1/3 d² dt² 1/3 x (t) + 5 · (dx (t)) + 6 x (t) = F (t) AGI F (t) = co + Σ%=1 ºn sin (n t), xp (t) = ª₁ +Σ1 (an cos (n t) + bê sin (n t)) n=1
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