1. Solve each of the following inhomogeneous Fredholm integral equations of the second kind for all...
02 Solve the Fredholm integral equation of the second kind y(x)-f(x) +AJ0x(1 H) y(t) dt when λ is not an eigenvalue
02 Solve the Fredholm integral equation of the second kind 3. y(x) fx)+A( ) y(t) dt when A is not an eigenvalue 4. Q2 Find the Jordon canonical for of A -3 8 3 4 -8-2 02 Solve the Fredholm integral equation of the second kind 3. y(x) fx)+A( ) y(t) dt when A is not an eigenvalue 4. Q2 Find the Jordon canonical for of A -3 8 3 4 -8-2
1 o1Express the differential equation y"(x) -y(x) -6y x 1 with y(0) y(1) -0 into Fredholm integral equation. 2, a2 Solve the Fredholm integral equation of the second kind: y(x)-t(x) +Nox(1 +t) y(t) dt when λ is not an eigenvalue .
Individual task 6 Fredholm integral equations. Freholm alternat Case 7 1. Test for solubility at different values of the parameter 1 following integral equation (cosh x sinh s.O SXSS 1.1. y(x) - 2 SK(x,s)y(s) ds = 1, where K(x,s) = cosh s sinhxis SXS 1.2. y(x) -15, * sin(275)y(s) ds = x.
solve 1 and 2. Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Second Fundamental Theorem of Calculus 2) y- cos nt dt D) cos (3)-1 C) sin (3) B) cos (x3) A) 6x5 cos (x3) Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Second Fundamental Theorem of Calculus 2) y- cos nt dt D) cos (3)-1 C) sin (3) B)...
please explain all, thanks Fourier Transforms, please explain in detail Solve the following integral equations for an unknown function f(x): (a) exp(-at?) f (x – t)dt = exp(-bx2) b> a > 0 f(t)dt (b) Sca 2 b> a > 0 (x-t)2 +a? 22 +62
make sure to list values in interval for each question (24pts) 13.Solve the following equations: a) 4 cos x = 2 on [-276, 27t] b) cos x + sin x tan x = 2 on (-00,00) c) secx - 3 = - tan x on (0,270) d) 2 cos? x + 11 cos x = -5 on (-360°, 360° e) sin x - cos x-1=0 on (-00,00) e) 2 sin x = cscx +1 on [0°, 360°)
please complete all parts Problem F.7: These are independent problems (a) (5 points) Solve the following integral. (Hint: Think Fourier series.) (cos(nt) - 2sin(5rt)e-Jr dt XCj) (b) (5 points) Find the Fourier transform io of the following signal: 2(t) = sin(4t)sin(30) (c) (5 points) Solve the integral: sin(2t) 4t dt (d) (5 points) Use Parseval's theorem and your Fourier transform table to compute this integral: Problem F.7: These are independent problems (a) (5 points) Solve the following integral. (Hint: Think...
3. Solve the following integral equations using Laplace transforms. (a) (t)= te! - 2e x(u)e"du (b) y(t) 1 - sinht +(1+T)y(t - T)dT. netions 3. Solve the following integral equations using Laplace transforms. (a) (t)= te! - 2e x(u)e"du (b) y(t) 1 - sinht +(1+T)y(t - T)dT. netions
Question 5 (Unit 6) - 31 marks (a) Express the following inhomogeneous system of first-order differential equations for x(t) and y(t) in matrix form: = 2x + y + 3e", y = 4x – y. Write down, also in matrix form, the corresponding homogeneous system of equations. (b) Find the eigenvalues of the matrix of coefficients and an eigenvector corresponding to each eigenvalue. (c) Hence write down the complementary function for the system of equations. (d) Find a particular integral...