an = 0+ bn = Scoss (coin't It 2/2 (sinnt) =)1- ²/F2 11 Cosnt dt at " 2 (0-0) =0 NG f(t) sin(ntxa) dt l + 1 i fox sin - [ sinnt dt = (-(o^^)" Cona ( DT 2 bn = (1- (-1)^) x ₂ กา :: fouric Expansion f(t) is f(t) = 0 + & Can Coint + bn sinnt] n=1p ²2/ + E. Cox Count + 2 (1-(-1)^) กล n=1 f(1) = 1 + E ( n=1 Sinn - Sinno) ont dt sin (nt) d t + √2xsin 1 0 -Coin + Cos 0) nez 2 (1- (-1)^ sinnt) sinnt
an = 0+ bn = Scoss (coin't It 2/2 (sinnt) =)1- ²/F2 11 Cosnt dt at " 2 (0-0) =0 NG f(t) sin(ntxa) dt l + 1 i fox sin - [ sinnt dt = (-(o^^)" Cona ( DT 2 bn = (1- (-1)^) x ₂ กา :: fouric Expansion f(t) is f(t) = 0 + & Can Coint + bn sinnt] n=1p ²2/ + E. Cox Count + 2 (1-(-1)^) กล n=1 f(1) = 1 + E ( n=1 Sinn - Sinno) ont dt sin (nt) d t + √2xsin 1 0 -Coin + Cos 0) nez 2 (1- (-1)^ sinnt) sinnt
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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its an aswer but i cant read handwritten .please Type it
![an=
0+ 1 2
Cos nt dt
12
sinnt
2.
Sinnn-sinno)
2.
(0-0) = 0
bo =
$(t) sinfntim)dt
%3D
Sin(nt)dt
+ 2xSin nt dt
+
2
Sinntdt
* (- Conna
- 2
(- Conn+ Coso)
Cos o)
bn=
(1-(-1)),
X 2
: fct) is
fairic Expanaion
ĕ Can Cosnt + bn Sinnt]
2.
(1-(41)") sinnt
3.
EPox Cont +2 (1-(-1)")
n=1
f(t): 1+ 2(1-(-1)" sinnE
%3D
2x2
Sint
4 sinat + 4 sinst
+-
1)
4.
fCt): 1+
Sinsl
Sintt Si3t
%3D
-+ Sinnt
3.
5
cwhere nis odd nos
t.
2/2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfe2abf9-1533-46b8-8077-bdef2f716d3e%2F23b1fa4a-5439-4897-8f3a-1faee460835f%2Fs4jaj2u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:an=
0+ 1 2
Cos nt dt
12
sinnt
2.
Sinnn-sinno)
2.
(0-0) = 0
bo =
$(t) sinfntim)dt
%3D
Sin(nt)dt
+ 2xSin nt dt
+
2
Sinntdt
* (- Conna
- 2
(- Conn+ Coso)
Cos o)
bn=
(1-(-1)),
X 2
: fct) is
fairic Expanaion
ĕ Can Cosnt + bn Sinnt]
2.
(1-(41)") sinnt
3.
EPox Cont +2 (1-(-1)")
n=1
f(t): 1+ 2(1-(-1)" sinnE
%3D
2x2
Sint
4 sinat + 4 sinst
+-
1)
4.
fCt): 1+
Sinsl
Sintt Si3t
%3D
-+ Sinnt
3.
5
cwhere nis odd nos
t.
2/2
![Given
fit).
2.
for
faurier Seric
Erpan8ion.
do + E (bn Sin nx + b,an Cos na)
ao t
fow=
%3D
+ E Sinnt]
l'an Cont + bn
3.
n=1
and
Given
20 = 27, Sod
%3D
fct)南dt
ozt - 2 dt
x(2t),
1/28-0)
ao
2.
an:
2 Coy (nt)dt
2
0x Co ("
2.
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfe2abf9-1533-46b8-8077-bdef2f716d3e%2F23b1fa4a-5439-4897-8f3a-1faee460835f%2Fw9cy8p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given
fit).
2.
for
faurier Seric
Erpan8ion.
do + E (bn Sin nx + b,an Cos na)
ao t
fow=
%3D
+ E Sinnt]
l'an Cont + bn
3.
n=1
and
Given
20 = 27, Sod
%3D
fct)南dt
ozt - 2 dt
x(2t),
1/28-0)
ao
2.
an:
2 Coy (nt)dt
2
0x Co ("
2.
0
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