Yt = €t – 0.5ɛt–1 + 0.5€t-2 Et ~ WN (0, 1) (a) Find E(y) and Var(y.). (b) Find Cor(yt, Yt–1) and Cor(yt, Yt-2). (c) Is the model above covariance stationary?

Q: dy (b) Find ,where y = cos ecx –4 r +7 dx

A:

Q: sin(2t +) dt eu-3 %3D 64

A: Let, I =∫0∞sin2t+π2e2t-3dtApply integration by part ,Ist function = cos(2t) , since sin(π/2+x) =…

Q: bifurcation values

A:

Q: Find the differential dy of the function y=-2²-3x - 2. Select one: O a. (-x-3)dx. O b. (-2x - 3)dx O…

A: dxndx=nxn-1d(constant)dx=0

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

A:

Q: what is the dependent variable and linearity of the DE: d(xy)/dx + xy=0?

A: We will find out the required values.

Q: Q3) Find dy/dt of the function y = cos (5sin (t/3))

A:

Q: Find the linearization of the function a) z = cos(sin y – x); at (-2,0) and use it to approximate…

A: Suppose f(x,y) be a differentiable function at (a,b). Then linearization of f(x,y) at (a,b) is given…

Q: Find the differential of each function. (a) y = 2 + 55 dy (5s + 2)² (b) y = eu cos(u) 1. dy =…

A:

Q: Find the values of and at the point xe + ye? + 2 ln x-2-3 In y = 0, (3,ln 2,ln 3) Defines x as a…

A:

Q: • Find the correlation coefficients between: • x(1) = A, cos(@f) and y(t) = A, sin(@,t). • x(1) = A,…

A:

Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: cos(2t + 号) dt = e2t-3 寸 ト す

A:

Q: (2^)u sec (VTt) 2V7t (a) y= tan dy: dt 5- v2 (b) y = 5 + v2 dy = -5- 2iv 5 -V-5-2iv5 %3D Need Help?…

A: Both the parts are given below.

Q: Find the differential dy of the function y = 4x²-x+ 3 Select one: O a. (8x-1)dx O b. (x²-x² + 3x) dx…

A: Solve for the differentiation

Q: b.Introduce a new dependent variable v so that v = y/x, or y = xv(x). Express dy/dx in terms of x,…

A: Given that, v=yxy=vx

Q: Determine the linearization of y = 4 – 2x at (1, 2). Then use it to approximate the value of y when…

A: It is given that, y=4-2x2  at 1,2 we have to determine the linearization of function. Then use it to…

Q: Find the differential of each function. (a) y = tan(v7t) dy = 5 - v2 5 + v2 (b) y= dy

A: a) Given function is By using chain rule of differentiation , we have