x'y" – 2xy' + 4y - 0

Q: Evaluate. The differential is exact. (1, 1, 1) (-10x - 8x7y7) dx - 7xS6 dy + 54z5 dz (0, 0, 0) 3 4

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Q: Find the particular solution for (2y - x) dx + 3xy2 dy = 0 when x = 1, y = 1

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Q: dx =- 1. dt dy at x = 2 if y = 4x° – 2 and dt %3D Find - dy dt

A: Given: y=4x2-2 and dxdt=-1 To find: dydt, when x=2.

Q: ( 2x – sin y) dx – (x cos y) dy = 0 -

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Q: Let y = 4x2 + 4x + 3. Find the differential dy when x = 1 and dx 0.4 %3D Find the differential dy…

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Q: [(x²-y²)²] x+y -2 LEK 1J0 du dt

A: We have to find value of given double Integral.

Q: Find the differential dy. y = 5x2 / x-9       dy =

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Q: // sin(7x²) dx dy. Compute O y/3

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Q: Compute the differential dy for y = (2x + sin x)². dy =

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Q: Let y=5x^2Find the change in y, Δy when x=3 and Δx=0.2Find the differential dy when x=3 and dx=0.2

A: To find the following parts. 1.)find the change in y (∆y), when x=3 and ∆x=0.2. 2.)find the…

Q: Find the differential dy of the given function. y sec² x x² + 2 dy sec²x(x²+2)tan x-x (x² + 2)² dx X

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Q: Let y=5x2y=5x2.Find the change in y, Δy when x=3 and Δx=0.2   Find the differential dy when x=3 and…

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Q: satisfies the differential equation Show that y = x+ Vx' + dy - m°y = 0 + x- dx

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Q: Let y = 3x² + 3x + 4. ind the differential dy when x = 4 and dx = 0.4 ind the differential dy when x…

A: Given query is to find differential at given point.

Q: dy -X+Y

A: The solution to a linear differential equation of the form dydx+Py=Q, where P and Q are functions of…

Q: 2- X %3D +2 3- Coshx dy +(y sinh x+e) dxo 36

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Q: 2 (b) - 2y dx +(2y tan'(x )-2x +sinh (y))dy = 0

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Q: tan (2x + 3). Find the differential dy when x = 3 and dx Let y = Find the differential dy when 3 and…

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Q: Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3 and dx 0.3 %3D

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Q: Find the differential dy. x + 3 4x - 1 dy =

A: y=x+34x-1

Q: Is differential equation (4xy + 3y4)dx + (2x? + 5xy³)dy = 0 exact

A: A differential equation   M dx +N dy  =0 is  said to be exact if ∂M∂y=∂N∂x

Q: Find the differential dy of the glven function. (Use "dx" for dx.) 7 y = 3Vx + dy =

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Q: Ssin (2x)cos(2r)dx

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Q: y = x2/3 dx 9.

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Q: y (y^3-x) dx + x(y^3+x) dy=0_At· muon

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Q: Find the differential dy. y = ex/2   dy=

A: Here the given expression is y = ex/2. Apply the chain rule:

Q: Find the curve y that satisfies the differential equation y' sin r and passes through the point (T,…

A: Integrating the equation

Q: Find the differential dz of the function f(x, y) = 4y² + x²y-2xy and use it to approximate Az at…

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Q: Compute the differential dz of the function. z = x'y8 dz

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Q: Estimate Ay using differentials. .1/3 y = x¹/3 e³x-1, a = 1, dx = 0.1 -

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Q: Find the differential dy. y = cubic root of 3x^2

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Q: -y cos xy - 4x) dx + (- x cos xy + 2y) dy o 1. = 0 2x+3y Zar+3y 2.

A: Proceed as shown below...

Q: Let y = 3x² + 8x + 3. Find the differential dy when x = Find the differential dy when x = 2 and da 2…

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Q: tan(4x + 8). Find the differential dy when x = Let y 1 and dæx 0.3 Find the differential dy when x =…

A: In the given question we have to find dy of the function at both of the given value.

Q: Find the differential dy of the given function. y sec² x x² +2 dy = sec²x(x²+2)tan x-x (x²+2)² dx x

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Q: Find the differential dy when x = 3 and dx = 0.2 %3D

A: When you get function of function form to differentiate, we use the chain rule. y = f(g(x)) dy/dx =…

Q: Intergrate dy (2y-x) =In Co)

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Q: Let y=3sqrt(x) Find the change in y, Δy when x=2 and Δx=0.3 Find the differential dy when x=2 and…

A: We are going to solve

Q: dy (2² + 9) + æy - = 0 da

A: To determine limit x tends to infity y(x) for the given differential equation

Q: Find the differential of the function y = In(S - 2x) 2dx dy = (5-2x) dy = (5 – 2x )dx -2 (5-2x)dx…

A: Given : The function y = ln(s - 2x).   To find the differential of the function y = ln(s - 2x).

Q: find the differential dy of the function y=x2sin(8x)

A: Find the differential dy of the function y = x2 sin(8x) as follows.

Q: Let y = 3x² + 8x + 3. Find the differential dy when x = 1 and dx = 0.2 Find the differential dy when…

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Q: Solve for the differential of y when y- sinax. x= and dx O o o

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Q: Let y=3sqrt(x)Find the change in y, Δy when x=5 and Δx=0.2 Find the differential dy when x=5 and…

A: Given function is Change in y is calculated as follows. when x=5 and Δx=0.2

Q: Find the differential dy for the function y=3sin(2x)+x.

A: We have to find dy for the function y=3sin(2x)+x.

Q: 4. cos x dy + y(sinx- 1) dx = 0; when x = n, y = -2

A: (4) To find: The solution of differential equation. Given: The differential equation is…

Q: Find the differential dy of the x + 1 y = 4х — 5 dy =

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Q: Approximate Ay using differentials for y = x2 - 4x at x = 6 when Ax dx = 0.03.

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Q: Find the differential dy. y =  x + 8 7x − 1

A: Assuming that y is given as: