I didn't see the first question. I only know some basic about Fredholm integral equation. I just tried to do it. I think if you post the first one again, it will be helpful to you..It's my mistake...sorry..
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 integ...
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
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 .
1. Solve each of the following inhomogeneous Fredholm integral equations of the second kind for all values of 1 for which there is a solution. (x) = cos x + 2 sin x pt)dt ел Jo
Assume that x and y are functions of t, and x and y are related by the equation y= 4x+3. (a) Given that dx/dt=1, find dy/dt when x=2. (b) Given that dy/dt=4, find dx/dt when x=3.
Solve for y(t). dy/dt + 2x = et dx/dt-2y= 1 +t when x(0) = 1, y(0) = 2
3. Find all critical points of dt dt with the constraint PP = 8 0 (c and boundary conditions x(0) - 0, x(1)- 3. Hint: Write the Euler Lagrange equation (there is no dependence on t), and then use the boundary conditions and the constraint to reach a system of 2 equations (with quadratic terms) of two unknown constants a, b Solve it by first finding a quadratic equation for a/b 3. Find all critical points of dt dt with...
Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6 Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
Solve the following integrodifferential equation 2 dx + 5x +3 / x dt + 4 = sin 4t, x(0) = 1. 0 x(t) is calculated as e-t + e -1.5t , + cos t) + sind |t)]u(t).
4. (1 mark) Find the numerical value of each integral. a) x)-8(+3)-28(40)]d b) x(t) ?..J(3t-2n) dt. as (1 mark) Find the signal energy of the following signals a) x(t)u(t)-u(10- t) b) x(t) rect(t)cos(2nt)
3. (25 Points) Find f(t). f(0) + f(t - 1)f(t)dt = t. Hint: The second term on the left side is a convolution and it might be helpful to use the Laplace Transform. 1 4. (10 Points) Solve the initial value problem by Laplace transform techniques. x" + 5x' + 4x = 0;x(0) = 1,x'(0) = 0. I 5. (15 Points) Find a series solution for the following differential equation. Calculate the radius of convergence. 2(x - 1)y' = 3y...