7. Let Y be a stationary AR(2) process, (Y) = 1 (Yt-1 - μ) + 2 (Yt-2 - μ) + €t.

Q: y= cosV1- x y' = V1-x² ² y' = 2v1- x² y' = 2va- x2 y' = Vx-x* 1 y' = 2Vx-x2

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Q: x² - 4x +6 4 X Find y' if y=- y'=0

A: Given query is to find derivative.

Q: Verify that g'(x) 1 where g(x) = v2x – 3. %3D V2r – 3

A: Giveng(x)=2x-3.To verify g'(x)=12x-3  is the derivative of g(x).

Q: Let r(x) = f(g(h(x))), where h(1) = 3, g(3) = 6, h'(1) = 3, gʻ(3) = 3, and f '(6) = 5. Find r'(1).…

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Q: Let f(x) = (x° + 3x + 5) %3D f'(x) = %3D f'(3) =

A: We will solve by derivative

Q: Find y'' for y = 4+ 5X 3

A: Given :   y=4+5x3     To Find : y''

Q: (3) y'= y(3-y), y(0) = 2.

A: To solve the following initial value problem (IVP).

Q: 2. The tank shown below contains 80 lbs of salt dissolved in 500 gal of water. The inflow per minute…

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Q: Solve dy (a) dx dy 1+y (b) dx 2x y+1 dy (c) (1+x 2+x dy (d) e*+y

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Show that the function f(1) = 5e²' satisfies y" – 3y' + 2y = 0, y(0) = 5, y'(0) = 10. %3D

A: The function ft=5e2t & the differential equation y''-3y'+2y=0 & the conditions y0=5,…

Q: Find a function f(x) such that f'(x) = 52 - 4 and f(0) = 2 f(x) =

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Q: Determine the uncertainties in x2 and y2 using the rule for propagating uncertainties when…

A: We need to Determine the uncertainties in x2 and y2 using the rule for propagating uncertainties…

Q: Find the general solution of dyldx = (x - 4) / (6 – 5x + x^2). O y = 2 In(x - 2) + In (x – 3) + C O…

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Q: If F()dt= x*, then f(8) = %3D (A) 32 (B) 0

A: Given: By Euler's formula for integral,              ddx∫0x3f(t)dt=ddx(x4)⇒f(x3)…

Q: Pind the critical point of y=1+hx

A: Given: y=1+lnxx We know that for any given functiony=fx in it's domain, at critical point derivative…

Q: 2x³y' = y(y² + 3x²) a. y-2x2 -x +c b. yx3 -x + c C. y2x x3 -x+c d. y'x2 = -x +c

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Q: dy = 1+y² dx y' = yx³

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Q: Solve the IVP y + 2y = 0 if t≥ 1 y(0) 1. Is the solution continuous? = "

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Q: Consider the IVP dy = (). Iy(20 -- y), y(0) = 1. dt %3D (a) Solve the IVP, finding y explicitly as a…

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Q: (4) Find y' if y = xcot-12x -V1– 4x².

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Q: Given G(x, y) = 6y²(e(²) +e (¹)), where and y are found to be In 3 and 3 with maximum possible…

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Q: Find y'. 2 O|N 9 y=x + 2x

A: Given value,     y=

Q: y" – 10y' + 25y = 0, y(0) = - 4, - 4, y'(0) = - 15 y(t) =

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Q: xy y' = x² + y² %3D with y(1) = -4, then y(e)

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Q: 5. dx/dt = (4+x)(y-x), dy/dt = (10-x)(y + x)

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Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, find the relative error…

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Q: y' = x² + /x + 1, y(0) = 4.

A: Given: y'=x2+x+1y(0)=4

Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

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Q: 2x³y' = y(y² + 3x²) using Bernoulli.

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Q: Suppose dy/dt=3t2+2t+1 and y(1)=5  what is y(2)?

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