Evaluate     C(y − x) dx + (4x + 7y) dy. C: line segments from (0, 0) to (4, −8) and (4, −8) to (8, −8)

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A: Here I write a small piece of python code to solve this problem.

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Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D3 + 5D² + 3D - 9)y = 64x²e-3x 2. (D³ + 13D - 34)y = 25x2…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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Q: 4. y+= y в. C. -y-4 D. y-4 с. А. 4y-2 4y-2 5. 4x2 + 4y2 = 36 A. - в. с. - D. 2 6. x2 + 3xy- y = 7…

A: solution:-implicit differentiation(4)y+x2=y2dy+dx2=2y dydx2=2y…

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Q: 1- S, (xy – y³)dA (1,y]x[0,1]

A: Please ask only one question at a time.

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Q: Find L(y). y +2x = 2 Y – x' = et y (0) = x (0) = 0 %3D %3D -2 L (y) = %3D s(s²+2) 1 O L(y) = (s2+1)…

A: Given; y'+2x=2 y-x'=et y(0)=x(0)=0.

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A: Let's find derivative of given function.

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Q: What is P-(y) if the given DE is xydx – (3y – x²)dy = 0? -2y 2y 2 y -2y-1

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Q: 1.y' + 6t = e*t, y(0) = 2 2.y" + 6y' + 4y = 0, y(0) = 1, y' (0) = 0 3.y' +t = e5t, y(0) = 1

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Q: z(z² 2). 9. y Ans. dy -1 dz (z + 7)* dy 1 Ans. dz (4 z) 2y 11. 12 ong b Ey - 2 - 3z 3z - 1 Ans. y =…

A: The derivative is calculated mainly using quotient rule.

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A: This is a question from a real-valued function.

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Q: Í (x)dx, iff(x) = Vx -k +1;k-15x <k, k = 1, 2,.n.

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Q: dy If ay = -x+4x -3 and y= 2 when x = 0 then y is equal to dx A y =-1+8x y=--2 B ²+2x- 3x +2 4 y =…

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Q: find the first and second derivativ of y with respect to x y=x^3-9x^2+15x-5

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Q: Find all the local maxima, local minima, and saddle points of the functions in Exercises 11-20.

A: (10)Consider the provided function, fx,y=x2+2xy Find all the local maxima, local minima, and saddle…

Q: x²y-y -y': у+1 ; у(3) - -1 %3D а. х3— х — Зу- Iny3 - 21 %3D с. х3 — Зх - Зу- Iny3- k d. x3 - 3x -…

A: Given that : y' = (x2y - y) /(y+1).and y(3) = -1. We solve this differential equations by using…

Q: 6. Differentiate y with respect to x using A-method. x-3 a. y = X b. у %3D V4x + 3

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Q: Find the general solution of the lines 3y (즉 + 2-2)dx + (2x- 3 +1 )dy = 0 - 2 )dx + ( 2x - +1 )dy =…

A: x2+3y4-2dx+2x-y2+1dy=0To Find: The general solution of the lines.

Q: Find the general solution of (x+2y – 1) dx + (x + 2y + 5) dy = 0 x - y + 6 In(7 – x – 2y) А. = C x +…

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Q: Determine the value of C if f(x,y) = C is the solution of (x+ 2y-3)dx+(x+2y+1)dy3D0 for x=94 and y=…

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Q: Obtain a particular solution for + + +y = x³ + 2x + 1 dºy, d²y dx4 dx²

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