Find the Total Differential of each of the following functions. 12. x2 + y? 13. (x² – y?) 14. sin- (2)

Q: Answer the following using Homogenous ODE in Differential Equation. [x csc( c() - y] dx + xdy = 0

A: we have to solve the following homogeneous ode

Q: Find the change in y, Ay when z = 5 and Ar = 0.2 Find the differential dy when z 5 and da 0.2 Submit…

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Q: SOLVE the following DIFFERENTIAL EQUATIONS * for partial derivative symbol, use the letter d 05…

A: I'm using the fact that the give d.e. Is exact . It becomes easier that way.

Q: Find the differential of the given functions. a) f(x) = sin(cos(22)) CoS %3D 2x b) g(x) x3 – 7x

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Q: 6. Find the total differential for the following equation of the following equation; z = ex² + y²…

A: We Know that  For function z = f(x, y) whose partial derivatives exists and  Total Differential of z…

Q: 10) For y= vx+8, use the differentialE dy to approximate Ay when x changes from x =1 to x 0.97

A: This question can be solved using the concept of linear approximation.

Q: If xs2 + yt2 = 1 and x2s + y2t = xy − 4, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t, at (x, y, s, t) = (1, −3,…

A: We have to find the values of partial derivatives.

Q: Let f (x²) be a differentiable function. Which of the following function is the integrating factor 1…

A: Concept:

Q: Use the information to find and compare y and dy.                                        Function…

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Q: What is the value of the differential if f(x) = x + 2x - ! x = 8.4 and dx = 0.86. Round your answer…

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Q: 1 olve for the differential of y when y = sinxx, x=-, and dx=-. 2 3 A 2 В 4 C 2 D 4

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Q: 4 If y = In(8+ x4), find the differential dy. Your answer will be in terms of x and dx. Enter dæ as…

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Q: Find the integrating factor for the following differential equation dy coSx- dx - (sinx)y = x

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Q: Find the increment and differential of each of the following functions for the given values of the…

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

Q: Find the differential dy of the given function.

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Q: Q5) find the derivative 1. x = sin and y = sin+ cos if taken together, satisfy the differential…

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Q: Find the efeneral Solutim Of the differential equatim: (0?-40+3)y=x+ee+x?

A: Answer and explanation is given below...

Q: Find the value differential equ of the arbitrary and the value c y'+4

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

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Q: x² (y + z) – 4V/x²+ y² + z² = 0,

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Q: SOLVE the following DIFFERENTIAL EQUATIONS * for partial derivative symbol, use the letter d 02…

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Q: Show whether the following functions are integrating factor of the following Non-exact Differential…

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Q: Use the information to find and compare y and dy.                                   Function y = x2…

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Q: 7. Find the differential dy for y = x2 – 4x + 6, then evaluate it when x = 2 and dx = 0.1 -

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 6. y = 2/x +

A: Given:

Q: 1. y = √2x +7 2. y = √7+√√3x + 1 3. y Arctan√1-x²

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Q: Find the differential of the function f(x, y) = 3xe2y at the point (5, 3) using Ar = 0.25 and Ay = (…

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Q: T. Selue the ff. differential epnotion ) xy (xdy tydy) = ky'dy; when yol; x=2

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Q: Integrate the following differential and determine the constant of integration: dy/dx = 8/x which…

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Q: Find the differential of the function. .6 y = V 3 – t

A: giveny=3-t6

Q: 8. If y = xi, then the value of the differential dy as x changes from 16 to is (A) * (B) 5 (c) (D)…

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Q: 6. Determine the differential of each of the following: 1.y= 3e* +3 tan(2x)

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Q: Estimate Ay using differentials for the given function and the given values of a and dr 2/3 y =xe-,…

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Q: Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4 and dæ = 0.4

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Q: What is N(x,y) for the following differential equation: x(1 - sin y)y' %3D (сos x - сos y — y)

A: Given a differential equation, x1-sinyy'=cosx-cosy-y

Q: Find the integrating factor for the following differential equation dy sinx + (cosx)y = x dx

A: We are solving the first question and for the next question post the question againand also mention…

Q: I. EVALUATE THE FOLLOWING DIFFERENTIAL EQUATIOON USING BERNOULLI'S. dy y? dr

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Q: Which of the following function can be used as an integrating factor for the non-exact differential…

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Q: The appropriate integrating factor for the following differential equation (3xy – y?)dx + x(x - y)dy…

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Q: 24 ue'sin(s + 2t)

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Q: Find the differential dy of the given function. (LUse "cx" for dx.) x +3 3x

A: We will solve the problem

Q: (2) Find the differential of each of the following functions. In other words, for each of the…

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Q: Answer the following using Homogenous ODE in Differential Equation. 3(3x2 + y?)dx – 2xydy = 0

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

A: See the attachment

Q: Consider the following differential equation. (x2 + y2)y′ = y2 Let  f(x, y) =  y2/x2 + y2 .  Find…

A: This is a problem of differentiation of the function. Based on the general formula we will answer…

Q: Use the information to find and compare y and dy.                               Function y=x − 2x3…

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Q: 3 y = √√2x + 7

A: Given,  y=2x+73 or x=y3-72

Q: What is the value of the differential if f(x) = x + 2x - x = 2 and dx = 0.63. Round your answer to…

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Q: f(1, у) — Зх + 2у;

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Q: Find the approximate value of the following by use of differentials. 1. √626

A: Since you have posted multiple question in this question which are not interlinked so i have solved…