(a) Find the differential dy. dy (b) Evaluate dy for the given values of x and dx. x- 0, dx = 0.05 dy -0.0125

Q: (a) Find the differential dy. y = cos(xx) dy = -T sin (Tx)dx (b) Evaluate dy for the given values of…

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Q: (a) Find the differential dy. y = cos(x) dy = (b) Evaluate dy for the given values of x and dx.…

A: Using differentiation,

Q: dy Consider the differential equation secy- + sin(x-y)=sin(x+y). dx Using separation of variables,…

A: Given differential equation is secy dydx+sin(x-y)=sin(x+y)

Q: Given the differential equation cos x = y sin x, then dy dx 24. y = In (sec x) + K B Iny =In(secx)+K…

A: Here we will solve the differential equation.  Here we will use the integration  formula of tanx.…

Q: Consider the differential equation y" - y' + 3y = f(t), such that y(0)=0 and y' (0) = -9 f(t) is…

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Q: dy To be able to solve the differential equation dx - = cos(x - y), use the substitutions A z=x+ y,…

A: The given differential equation can be solved best by using substitution (C) . dydx=cos(x-y)put…

Q: The degree and order of the differential equation (出) 1 dy 1+ is = dx dy dx O 2, о16, 1 Ο 14, 1 о 1,…

A: Simplify and then find the order and the degree as shown below.

Q: :Solve the differential equuation (1+ e" )dx + e 1- dy = 0 y

A: Given

Q: Solve the differential equation. dy y + 1 dx O In |x| – ? () = tan - ex - x + tan-'(x) = C In |x| –…

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Q: Let y=(x^2+2)^3 Find the differential dy when x=2 and dx=0.5  Find the differential dy when x=2…

A: Given:

Q: 1. The differential equation dy cos(r + y) %3D dx cos(r - y) may be classified as a. Homogeneous b.…

A: As this is a multiple question according to the Bartleby Answering rule, only first question and its…

Q: ii) Solve the Linear Differential dy equation + (sec a) y = 2 tan a dx %3D

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 3x2 - 5 dy =

A: Given, y = 3x2-5  We have to find the differential dy for the given function

Q: Determine the order of the differential equation. 3 dy a) +y = sin x dx dy +t+2y= sin(t) dt? b) ?…

A: 1a dydx3+y2=sin x

Q: Find the differential equation of y=C.cos x. O y = -y cos x O y' = y cot x O y' = -y tan x O y+ xy…

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: et the differential equation. xy'dy = (y³ – x³)dx Highlight the result of substitution, result of…

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Q: (a) Find the differential dy of y = e#/5. (b) Evaluate dy for a = 0, dx = .1. (a) dy = dx (b) dy =

A: Solved below

Q: dy et-y + et + eY + 1 dx

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Q: Find the differential dy of the given function. y = InV9 - x2 dy =

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Q: 1. Find the differential of w = x cos y – y sin x.

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Q: (a) Find the differential dy. y = et/4 - Ap (b) Evaluate dy for the given values of x and dx. x - 0,…

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Q: A differential equation y dx+ (x³y²+x²)dy = 0 js separated to obtain: A x'dx= (y²+ 1) dy B x-³dx= dy…

A: Topic = Differential equation Correct option = B

Q: dy _ dx Degree and order of the differential equation y -x- are respectively dy dx а. 2,1 b. 2,3 с.…

A: Follow the steps.

Q: (-2e" sin(y) – 4y)dx + (-4x – 2e* cos(3))dy =0 Use the exact differential method to find a function…

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Q: Q-10. Find the order and degree of the differential dy 4 dx equation dy 7x = 0 (0.5mark) dx

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Q: dy Given a first order differential equation dx Зx* у + tan y x' +xsec' y Q3

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Q: Is the differential equation linear? dy dx = x8y + sin(x)

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Q: (a) Find the differential dy. y = cos(x)

A: Differentiate the given function with respect to 'x' and find 'dy'.

Q: The differential equation formed by eliminating arbitrary constants a and b of a sin x + b Y = 9 is…

A: We will differentiate the  y twice to get desired differential equation

Q: Find the differential dy when x = 2 and dx = 0.1 Find the differential dy when x = 2 and dæ = 0.2

A: ddxtanx =sec2x ddxxn=nxn-1

Q: (a) Find the differential dy. y = cos(Tx) dy = (b) Evaluate dy for the given values of x and dx.…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = (x+1)/(3x-5)   dy=

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Q: (a) Find the differential dy. y = cos(TX) dy = (b) Evaluate dy for the given values of x and dx.…

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Q: The differential equation (-xysin x+2ycos xdx +2xcos x dy 0 is

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Q: Find the differential dy when x = 1 and dx = 0.2 Find the differential dy when x = 1 and dæ = 0.4

A: Answer

Q: 1. The exact differential d(xy)= xdy+ ydx, what is the d( = 4x' y'dy+2xyʻdx. 2. The exact…

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Q: What is the integrating factor for the differential equation given below? xy dx + (x²y- xy²)dy = 0 a…

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Q: Let y=(x^2+2)^2 Find the differential dy when x =5 and dx =0.5 Find the differential dy when x=5 and…

A: a) Find dy for given equation.

Q: The differential equation formed by eliminating arbitrary constants a and b of y = 8 a sin æ + b is…

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Q: dy + ydx = 3x²y?dx, %3D

A: Let's find.

Q: a). Sketch the slope field of the differential equation. (x - y); within the Interval -3 ≤ x ≤ 3 -3…

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Q: dy cos 2x; y(0) = 1 dx

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Q: 1 Solve for the differential of y when y=sinzx, x=÷, and dx= - 3 A) B) 2 -- C) D)

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Q: The differential equation (y")* +xy(y") =x of order 3 and of degree 4 Select one: O True O False

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Q: What is the integrating factor for the differential equation given below? xy dx +(xy - xy²)dy 0 %3D…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = (x+2)/(3x-8

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Q: (-2e* sin(y) – 4y)dx + (-4x – 2e* cos(y))dy=0 Use the exact differential method to find a function…

A: The given differential equation is: -2ex sin y-4ydx+-4x-2ex cos y dy=0

Q: 1. Given y = 4e* + In x, find the differential dy.

A: See the attachment

Q: 6. Is the differential equation exact Cos y dx + (y - x sin y ) dy = 0 a) no b) for y3x siny c) yes…

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