Use Z transform methods to find the solution of the following equation assuming zero initial conditions...
Use the Z-transform to find the general solution (zero-input and zero-state) for the following linear recursive difference equation written in advanced form: y[n+2] +3y[n+1]+2y[n] = 2x[n+2] A. Use the Z-transform to find the zero-input solution with initial conditions: y[-2]=2, and y(-1)=3 B. Use the Z-transform to find the zero-state solution if the source function is given by, x[n]=3" u[n] C. Write the general solution to the linear recursive difference equation D. Use the Z-transform to find the transfer function (H(z))...
Given the following differential equation, solve for y() if all initial conditions are zero. Use the Laplace transform. dt
2-If X1(z)Find the Z-Transform of X2[x]-X, ln +3]u[n] Find theZ-Transform of X211 ( I-hind the Inverse Z-transform of given function. a) R(Z) =- (1-e") (-(z-e-ar) 3 +282+8-1 b) F (Z) = (2-2)2(2+2) Find the Z-Transform of X2 [x] = X1 [n + 3] u [n] 3- Solve the difference equation 3 4 With initial conditions y-1] 1 and yl-2] 3 4- Let the step response of a linear, time-invariant, causal system be 72 3) ulnl 15 3 a) Find the...
2-Using the Laplace transform find the solution for the following equation d/ at y(t)) + y(t) = f(t) with initial conditions y(0 b Hint. Convolution Dy(0) = a 2-Using the Laplace transform find the solution for the following equation d/ at y(t)) + y(t) = f(t) with initial conditions y(0 b Hint. Convolution Dy(0) = a
Let u be the solution to the initial boundary value problem for the Heat Equation, au(t,z 382u(t,z), tE (0,oo), E (0,3); with initial condition u(0,x)-f(x)- and with boundary conditions Find the solution u using the expansion u(t,x) n (t) wn(x), with the normalization conditions vn (0)1, Wn (2n -1) a. (3/10) Find the functionswn with index n 1. b. (3/10) Find the functions vn, with index n 1 C. (4/10) Find the coefficients cn , with index n 1. Let...
Using Z-transform, find the output of an LTID system specified by the linear difference equation: | [n+1]+[n] = 2x[n], if the initial conditions are yl- 1] = 1, and the input x[n] = 4-u[n]. (20 points)
Use the Laplace Transform to find the solution of the initial value problem fort > 0. No credit will be awarded for other methods. You way write your solution in terms of the unit step function U(t) and its translates. y + 4y = 2t . Uſt - 1), y(0) = 0.
[2 Marks] 18. If (z) and u[n]-cos(2n)지지 the correct value of V(z) will be (2z-1) js 2 2zei5-1 2ze-15-1 2 2zel5-12ze-15-1 19. Determine the Z-transform of x[n]. [2 Marks each] n] sinl0n)u[n]0.3" n] 0.5" cos (10n)u[n] In]-(0.3) u[/n] The transfer function of a discrete time system is H(z)- 20. 1+2z3z Use the inverse Z-transform to determine the system difference equation [4 Marks] 21. An LTI system is described by the following input/output difference equation: yln] 0.12yln x[n] (assume zero initial...
Write the laplace transform of the following, assuming zero initial conditions, i.e f(0) 0 f (0) 0 Part D- Dynamic Systems1 Keep X(s) terms on the left and Y(s) terms on the right of the equation. Do not group your terms and write your final answer in the order of the equation given vec 5s +4s +6X(s) (s+6)Y(s) Submit Previous Answers Request Answer XIncorrect: Try Again The correct answer involves the function sX, which was not part of your answer....
Solve the following differential equation using the Laplace transform and assuming the given initial conditions. [Note: Laplace table is provided in the page 6] dt2 dt dix x(0) = 1 ; (0) = 1 dt