22 please use Fourier series method solve the following initial value problem - fut = Ихх і 0

Q: n(n+1)(n+2) E = =1i(i + 1) i=1 3

A: We will prove the given statement by using the principle of mathematical induction in which we show…

Q: Find a formal Fourier series solution of the endpoint value problem x" +4x = 4t, %3D x(0) = x(1) =…

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Q: 2 * (1+x²)?" -00

A: Answer

Q: Calculate the root of f(x) = 2x + 3 cos x + e^-0.1x in the interval [-2,-1] with the Newton-Raphson…

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Q: 6)Differentiate h (z) = 5z-3/z+ log, (2z) - 10 + sin(6z)

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Q: - n <x <0 Let f(x) = {;", If a, = 0 Find the Fourier series of f(x) A) F, =+E-1 [1-(-1)"] sin(nx) +…

A: Ans : option (A) correct

Q: s(nx) < 2n

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Q: Expand, f(x) = -1 f(x) = Sinx f(x) = +1 (MXN) (n≤x≤-1/2) (-≤x≤) in a complex Fouriér Series if the…

A: As per the question we are given a piece-wise defined function f(x) with period of 2π and we have…

Q: t is the fourier series of f(x)=x^3+2 at (-L, L)

A: We have to find the fourier series of fx=x3+2 at -L,L

Q: Compute for a real root of 2 cos x – sin vx = i accurate to 4 significant figures using Fixed-Point…

A: 2cosx3-sinx=14  compute for a real root of equation using fixed point iteration method with an…

Q: One solution of a 2nd order homogenous LDE is e2*sinx. What is its general solution?

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Q: Find the Fourier series of, - 2 < x< -1 f(x) = }-2 -1< x<1 1< x< 2

A: We have to find the Fourier series of the given function.

Q: What is the fourier series of f(x) = x^2 with (0, 2L)?

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Q: what is the fourier series of f(t)=e^abs(t) -pi<t<pi

A: The function f(x) in trigonometric Fourier series on interval [ - k, k] has the form: Fourier series…

Q: ーTSェ<0, (b) f(x) 0Sまくす。

A: (b) Given function is fx=1,  −π≤x&lt;00,  0≤x&lt;π. We have to find the Fourier series of the given…

Q: 7. Let z1 = 3-j; z2 = -2 +j8, find cosh {sin [In (1 + z1′ + z2")(√ − z1″ + z2')}" 8. Refer your…

A: 7.Hint: Here the values of z1 and z2 are given. Differentiate the values as required and calculate…

Q: The nth root of a number can be approximated by the recursive formula 1 A = ((n-1) R₁+ n (R₁)¹- R…

A: Given Data: The nth root of a number can be approximated by the recursive formula,…

Q: 2- Determine the highest positive real root of x' - 6x' +11x = 6.1 Using Secant method (perform 2…

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Q: 2. Assume that f(x) is periodic with period 27 and, for <<, is given by the formula f(x) N 0 if 24…

A: The given problem is to sketch the given periodic function for -3π to 3π and also to find the…

Q: Problem 1 (Fourier Series Period 2n) Expand the f" S) in fourier series: f(x) = 1 + x,

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Q: 1. Let f(x) = r on [0, 5]. At r= 27, the Fourier series of f converges to (a) –27 %3D (b) 27 (c) 8…

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Q: sin x – e-* = 0, [0,1]

A: Sol

Q: Problem 7. Find a periodic Solution as a Fourier series to x" + 3x = F(t) Where F(t) = 2t on…

A: (a) Given that F(t)=2tF(−t)=−2t=−F(t)Therefore F(t) is an odd function.F(t) extends to [−π,π] so the…

Q: x' + 2e* – In xr- 3 = 0

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Q: Q1 finel fourier series F(x) = 2-

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Q: Find Fourier sine series of f(x) = 3x² on − L ≤x≤L

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Q: Q1/ Expand f(x) = x, 0<x<L, (a) in a cosine series, (b) in a sine series, (c) in a Fourier series. y…

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Q: Calculate the Fourier series of function f(x)=x^2 -L<x<L using the Fourier series of function…

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Q: 2. Determine one real root of 8 (sin æ) e- - 1 = 0 with æo = 0.30 using three iterations of Newton-…

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Q: f(x) = = 0 | 1 if - π ≤ x ≤ 0, if 0<x<π

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