Exercise (3-2): find Fourier series on [0,27]QuestionAnswer(1) f(x)= x/2sin nx(2) f(x)=-x2 sin nx(3) f(x)=sinxsin x4) f(x)=cos xCOS X(5) f(x)=xsinx-1+COS nx(6) f(x)%=xcos x2n(-1)"%3DΣ(n-1)(n + 1)sin(nx)0

Since you post more than one question. As per our guideline we can solve only first question for…

Answered: 4) f(x)= cos x COS X %3D (5) f(x)=xsinx…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

finding the 3rd harmonic of the Fourier series.
Utilizing your own detailed explanation of what Fourier series of a two pi periodic function g(x) on the interval [-pi, pi] means, determine the Fourier function of the function of of g(x) shown below: {0, -pi≤x≤0} {1, 0<x≤ pi}
1)Determine S[f] (Fourier series) if: a) f(x) = 2x; x ∈[-1, 1] such that f(x) = f(x+2) b) f(x)=2x-1; x ∈ [ -1, 1] such that f(x) = f(x+2) c) f(x)=x² + x; x∈[-π,π] such that f(x) = f(x + 2π) d) f(x)=ex, x ∈ [-1, 1] such that f(x) = f(x + 2)
Develop a periodic Fourier series f of period 2π, defined by f(x) = x if x ∈]0,2 π[ and f(0) = π; this function is represented graphically in the figure.
f(x) = {x, 0<x<pi} {2x-x, pi<x<2x}Determine the fourier series for the function defined
By using Fourier series a.= an= bn= Then the Fourier series of f(x)=
1)Determine S[f] (Fourier series) if: c) f(x)=x² + x; x∈[-π,π] such that f(x) = f(x + 2π) d) f(x)=ex, x ∈ [-1, 1] such that f(x) = f(x + 2)
Conduct Fourier series expansion for the figure. Along with the solution and how to choose which form to use. (f(x)=a0/2+Σ(an*cosnx+bn*sinnx) or using e^(-jωt)
SHOW COMPLETE SOLUTION. If f(x) = x2 + cos(x) is a periodic function with period 2W, thena. It is an odd function which gives a value of a0 = 0b. Its Fourier series is classified as a Fourier cosine series where a0 = 0c. it is neither odd nor even function, thus no classification can be deduced.d. it is an even function which gives a value of bn = 0
Compute the Fourier series of the indicated functions for x ∈(−L, L):f (x) = x^2Compute the Fourier series of the indicated functions for x ∈(−L, L):f (x) = e^x
Finding the Fourier series in the cosine of half of the function
f(x) is a periodic function with period 2π where the value of f(x) in the interval <x < is : (in pict) Use Dirichlet's theorem to find the value at which the Fourier series in (Expansion f(x) using Fourier series) converges when x = 0, x = ±π/2, x = ±π, x = ±2π

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

4) f(x)= cos x COS X %3D (5) f(x)=xsinx -1+ Cos nx