b) Use the iterated kernels-Neumann series method to solve the integral equation. Verify your answer. u(x) = 3 + 1 | sin(x + t)u(t)dt.

Q: nd the Fourier series of the function S f(x) = x 0< x < T | f(x) = T < x < 2n f(x) =

A:

Q: Q2: Find the Fourier series expansion of the function f(x) = xsinx for < x < 2n.

A: Given fx=xsinx We know fx=a02+∑n=1∞ancosnx+bnsinnx

Q: ƒ (x) = X (1+6x)²

A:

Q: 3. Find the Fourier series for the following function: f (x) = 64x³ for the interval (-n, 1) %3D

A: We need to find the Fourier series expansion of 64x^3.

Q: Solve the ODE using power series. y'' + x^2y=0,  y(0)=0

A: Consider the given differential equation as y''+x2y=0 with initial value y0=0. Let the power series…

Q: Determine the Fourier series

A:

Q: I [20 / (e(8-10x) dx. The integrand equals 20 divided by [e raised to power of (8 - 10x)]. O…

A: ∫ex dx =ex+C

Q: Find the Fourier series of the function if -4 <x< 0 f(x) S(x + 8) = f(x) %3D if 0 <x< 4

A:

Q: B/ Find the Fourier series of the function f (X) = x + t the range -n < x < n

A: Given: To find the Fourier series of the function  is given as,

Q: Determine the Fourier series for the function f (x) = x² in the 0 to 2 t.

A: Use the formula of Fourier series and then find the required coefficients to get exact Fourier…

Q: 1. Find the Fourier Series of the function: (0, ´0, -T < x < 0 f(x) 0 <x< T

A:

Q: 5. Convert the function f(x)=eux and f(x+2) = f(x) defined in the interval (-π < x < π) to the…

A: The given problem is to find the complex Fourier series for the given periodic function.Given…

Q: Find the sum of 1+++t using Fourier series expansion if f(x) a when [0,T] and 2 T-x when [ T, 2 T].

A:

Q: b) Find two linearly independent series solutions of 9x²y"+x²y' + 2y = 0 about x = 0.

A: The equation is 9x2y''+x2y'+2y=0.

Q: Find the Fourier series for the function f(x) = x over the interval [-r, T]. f(x) = x² Enter the…

A:

Q: Find the Fourier series of the given function f(x) 2 f(x) = x2 (-T < x < T)

A: Fourier series for f(x)=x2, -π&lt;x&lt;π is given by f(x)=a02+∑n=1∞ancosnx+bnsinnx…

Q: u se power Series to Solve this DuE (L-X) g - 2xj+2y=0 %3D

A:

Q: Find the Fourier series for f(x) = -x, –1< x <1

A: