Given a difference equation x[n+2] + 5x[n+1]+6x[n]=n with start values x[0]= 0 and x[1]=0

Expert Solution

milcah answered 2 years ago

For the following causal difference equation, given that y[-1] = 0, y[-2] = 1, and x[n]...

For the following causal difference equation, given that y[-1] = 0, y[-2] = 1, and x[n] = u[n], solve using z-Transforms. (Hint: convert to delay operator form, find the z-Transform, use PFE to find the inverse z-Transform) 4y[n + 2] + 4y[n + 1] + 2y[n] = x[n + 1]

For the following causal difference equation, given that y[-1] = 2, y[-2] = 3, and x[n]...

For the following causal difference equation, given that y[-1] = 2, y[-2] = 3, and x[n] = 3nu[n], solve using z-Transforms. (Hint: convert to delay operator form, find the z-Transform, use PFE to find the inverse z-Transform) y[n + 2] – 3y[n + 1] + 2y[n] = x[n + 1]

Given a sequence x(n) for 0 ≤ n ≤ 3, where x(0)=4, x(1)=3, x(2)=2, and x(3)=1,...

Given a sequence x(n) for 0 ≤ n ≤ 3, where x(0)=4, x(1)=3, x(2)=2, and x(3)=1, evaluate your DFT X(k)

We got for x > 0 given a differential equation y’ = 1-y/x, with start value...

We got for x > 0 given a differential equation y’ = 1-y/x, with start value y(2)= 2 Find the Taylor polynomial of first and second degree for y(x) at x =2. Show that y(x) =x/2 +2/x solves the given equation.

find the area bounded by x^2 − 6x + y = 0 and: a.) x^2 −...

find the area bounded by x^2 − 6x + y = 0 and: a.) x^2 − 2x – y = 0 b.) y=x c.) x^2− 2x − y = 0, and the x-axis. USING ITERATED INTEGRALS

A 5th filter is described by the difference equation: 2y(n)=2 x(n)+7 x(n-1)+3 x(n-2)-8 x(n-3)+ x(n-4)-8 x(n-5)+7...

A 5th filter is described by the difference equation: 2y(n)=2 x(n)+7 x(n-1)+3 x(n-2)-8 x(n-3)+ x(n-4)-8 x(n-5)+7 y(n-1)-3 y(n-2)+5y(n-3)- y(n-4) Determine the frequency response. Plot the magnitude and the phase response of this filter. Consider the plot -π≤w≤π for 501 points. Describe the magnitude response (Low pass filter, High Pass filter, etc.) Determine the system stability. Determine the impulse response h(n). You may set the period to -100≤n≤100 Determine the unit step response for -100≤n≤100 . (Matlab)

Solve the system by Laplace Transform: x'=x-2y y'=5x-y x(0)=-1, y(0)=2

1. Determine the absolute minimum and maximum values of the function f(x) = x^3 - 6x^2...

1. Determine the absolute minimum and maximum values of the function f(x) = x^3 - 6x^2 + 9x + 1 in the following intervals: a) [0,5] b) [-1,2] 2. A company produces and sells x number of calculators per week. The functions for demand and cost are the following: p = 500 - 0.5x and c(x) = 10,000 + 135x. Determine: a) Function of weekly revenue b) Price and number of calculators that have to be sold to maximize revenue...

Find the general solution of the given system using the characteristic equation dxdt=6x-y dydt=5x+2y Find the...

Find the general solution of the given system using the characteristic equation dxdt=6x-y dydt=5x+2y Find the general solution of the given system using the characteristic equation dxdt=6x-y dydt=5x+2y

Find the solution of the equation given around x_0 = 0. (1+x^2)y"+2xy'-2y=0

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