Fourier Series of 2 – on the interval [-, n 2+ 7? -E 1)* sin (n2) 2+ㅠ2 -X, L'co () =D1 8(–1)" cos() +En 1 3+ 2 -E (-1)" cos (nz) 3 4 n-1 2+2 - (-1)" cos (nz)
Fourier Series of 2 – on the interval [-, n 2+ 7? -E 1)* sin (n2) 2+ㅠ2 -X, L'co () =D1 8(–1)" cos() +En 1 3+ 2 -E (-1)" cos (nz) 3 4 n-1 2+2 - (-1)" cos (nz)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Fourier Series of 2 - on the interval [-n, 7]
2+능m2 -21
(-1)" sin (nz)
8.
n=1
2+72 - (-1)" cos (nz)
n=1
8(-1)" cos(프)
2 + En 1
00 (-1)" cos (nz)
2
3+
18
3
2+ 2 - i
so (-1)" cos (nz)
The solution of the initial value problem y" - 2y +2y = 5 sin(t), y (0) = 0,
y = et cos (t) + 2 cos (t) – 2e t cos (t) + sin (t)
y = e' sin (t) + 2 cos (t) + 2e* cos (t) + cos (t)
y = e' sin (t) + 2 cos (t) – 2e cos (t) + sin (t)
y = -et sin (t) +2 cos (t) + 2et cos (t) + sin (t)
y = e t sin (t) + 2 sin (t) – 2et cos (t) + sin (t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F384c30ef-6937-4da8-97bd-fd5229a75924%2Fb3c7a8a2-58c8-444a-94ca-bbeb61d676e7%2Fmu6bl1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Fourier Series of 2 - on the interval [-n, 7]
2+능m2 -21
(-1)" sin (nz)
8.
n=1
2+72 - (-1)" cos (nz)
n=1
8(-1)" cos(프)
2 + En 1
00 (-1)" cos (nz)
2
3+
18
3
2+ 2 - i
so (-1)" cos (nz)
The solution of the initial value problem y" - 2y +2y = 5 sin(t), y (0) = 0,
y = et cos (t) + 2 cos (t) – 2e t cos (t) + sin (t)
y = e' sin (t) + 2 cos (t) + 2e* cos (t) + cos (t)
y = e' sin (t) + 2 cos (t) – 2e cos (t) + sin (t)
y = -et sin (t) +2 cos (t) + 2et cos (t) + sin (t)
y = e t sin (t) + 2 sin (t) – 2et cos (t) + sin (t)
![Fourier series of 2-
*
on the inter val
3
of ETT, #]
|AnsweR should be dis cuss in English
wond]
The Solution of the initial value problem
y" – 24+ 24= 5 sin (t), y(o)= 0, ylo)=o
Answer have to details how you
solve this]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F384c30ef-6937-4da8-97bd-fd5229a75924%2Fb3c7a8a2-58c8-444a-94ca-bbeb61d676e7%2Fc3ooz6i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Fourier series of 2-
*
on the inter val
3
of ETT, #]
|AnsweR should be dis cuss in English
wond]
The Solution of the initial value problem
y" – 24+ 24= 5 sin (t), y(o)= 0, ylo)=o
Answer have to details how you
solve this]
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