1. Define if the given series is converges 2n-1 n+2n+7 2. Find if the given series is absolutely or conditionally converges Σ(1)", 3. Find the domain of convergence of the given series 21 12" (2n-1) 4. Expend the given function in the Fourier series in the given interval f(x)= [0,-z

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Answer all the parts otherwise don't solve it 

1. Define if the given series is converges
2n-1
n+2n+7
2. Find if the given series is absolutely or conditionally converges
Σ(-1",
3. Find the domain of convergence of the given series
21
12" (2n-1)
4. Expend the given function in the Fourier series in the given interval
f(x)=
[0,-z<x<0
(3x+2,0<x<#
interval (-. ).
5. Find the solutions of the given differential equations with the given conditions
y-5y +6y=e", y(0)=0, y(0)=0.
Transcribed Image Text:1. Define if the given series is converges 2n-1 n+2n+7 2. Find if the given series is absolutely or conditionally converges Σ(-1", 3. Find the domain of convergence of the given series 21 12" (2n-1) 4. Expend the given function in the Fourier series in the given interval f(x)= [0,-z<x<0 (3x+2,0<x<# interval (-. ). 5. Find the solutions of the given differential equations with the given conditions y-5y +6y=e", y(0)=0, y(0)=0.
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