Transforms And Partial Differential Equations: UNIT II: Fourier Series
Exercise
Transforms And Partial Differential Equations: UNIT II: Fourier Series: Exercise
EXERCISE 2.3
1.
Express as a Fourier Sine Series
3.
Find a Fourier sine series for f (x) = k in 0 < x < л
4.
Find the Fourier cosine series, and Fourier sine series for
5.
Find the Fourier sine series for f (x) =ax + b in 0 < x <
8.
Expand x sinx as cosine series in 0 < x <л. Hence, show that
10.
Find the half range sine series of f (x) = sin ax in (0, l)
11.
Find the half range cosine series for
13.
Obtain the half range cosine series for f (x)= cosh ax in 0<x<π
14.
Obtain the half range cosine series for f (x) = (x-2)2
15.
Obtain the Fourier sine series for sinx in 0 <x<л
17.
Prove that in 0 < x < л
18.
Obtain the sine series of the function
19.
Find the Fourier sine series for the function
20.
Find the half range sine series of
21.
Find the half-range sine series of of ƒ
(x) = 4x − x2 in the interval (0, 4). Hence, deduce the value of the
series
Transforms And Partial Differential Equations: UNIT II: Fourier Series : Tag: : - Exercise
Transforms And Partial Differential Equations: UNIT II: Fourier Series
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Transforms and Partial Differential Equations
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