Consider f (x, y) = log(r² + y²) f.(x, y) = %3D and fy(1,0) = %3D

Q: Зx + log dy find dx If y = 4 — Зх -

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Q: Use Version 1 of the Chain Rule to Calculate dy/dx

A: Given y=e5x-7 Let u=5x-7, then y=eu dydu=eu and dudx=5 Version 1 of chain rule is given by…

Q: Find the particular solution, Using the integrating factor method: dy + In x =- dx y where y(1) =3.

A: Solution: The objective is to find the particular solution to the given differential equation.

Q: Use Version 1 of the Chain Rule to Calculate dy/dx

A: y=5x2+11x20Chain rule:dydx=dydu.dudx

Q: . The derivative of y = xe + e" is D. ex А. хе В. хе + е^ С. exе-1 + е‑

A: Given: y=xe+eπ

Q: dy 2х + ху is separable. dx y2 + 1

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Q: What is an integrating factor of the nonexact DE dy/dx = 1/(2xy) -2y 2y e^(y^2) e^(-y^2) O NA

A: We have to find

Q: What is the integrating factor of the equation (2xy*e" + 2xy³ + y)dx + (x²y*e» – x²y² – 3x)dy = 0

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Q: Q1-Use the chain rule to express dy / dx in terms of xand y: 1-1 a) y = аnd x = at 1= 2 1+1 b) y=1-…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: In the given equation, find dy/dx by implicit differentiation. O (3x²+tan-ly)(1+y²) (1+y)e-x O…

A: Basic identities of differentiation is used.

Q: The integrating factor of the DE   y(2x - y + 1) dx + x(3x - 4y + 3) dy = 0 is

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Q: dy if y dx (22 – 3) /r³ + 4 x6 – 4x + 2 Using logarithmic differentiation, find -- NOTE: Eapress…

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Q: Find the integrating factor of x dy / dx =x^ 2 +3y,

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Q: f(x, y) = log, (3x) fe dy In(3x)/(yln(y)2)^2 ||

A: Topic- partial differential

Q: The integrating factor of dx dy 2 y= 3x² is а. b. 1 x С. d. 1

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Q: Find the logistic equation that passes through the given point.

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Q: dy log x If xY = ex-Y, prove that %3D dx (1+ logx)?

A: Introduction :

Q: Use Version 1 of the Chain Rule to Calculate dy/dx

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Q: A particle moves on the graph of y^2 = x + 1 so that dx/dt = 4x +4. What is dy/dt when x =8 ?

A: We have, a particle moves on the graph of a function given as y2=x+1 Differentiating both of the…

Q: Find dy/dæ by implicit differentiation. ezy = x + y dy/dx:

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Q: Find an integrating factor for the DE y(4x – 3y – 3) dx +x(x- 2y – 1) dy=0_

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Q: g(x, y) = sin (T ¤y) + log3 (x – 3y) -

A: The given function is                          gx,y=sinπxy+log3x-3y…

Q: In(r) Find dy/dx using the method of logarithmic differentiation when y = (4+ 2x²).

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Q: y = x2/3 dx 9.

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Q: If e (3x + 2)e2* dy 3 4 using logarithmic differentiation. (b) show that +2 2.x-1 %3D (2x-1) dx 3x…

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Q: Find dy dx' i) f(x) = Cos2x Sin²x %3D ii) f(x) = log,(x' +4)* e-* /2x - 5 -3x iii) f(x): (6-5x)'

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Q: Find the differential dy of the given function. dy sec x x² +9

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Q: Solve for the integrating factor * y (x + y) dx + (x + 2y – 1) dy = 0

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Q: Given the function y = x* e* , find dty dx for x = -1. %3D

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Q: find the integrating factor (xy2-y)dx + (x2y-3x)dy = 0

A: find the integrating factor (xy2-y)dx + (x2y-3x)dy = 0

Q: Determine dydx of function g 1 g(x, y) = cos (Tx/T) + log3 (x – y) |

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Q: Find the derivative, dy/dx: y = log3 (2x +1) Oy =- (2z+1)3 In 3 Oy = (2r+1) In 3- Oy= log, e (2z+1)3…

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Q: What is an integrating factor of the DE dy/dx = (y + y^2) / x ?

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Q: Given that y = (In(x))²In(), find dy using the method of logarithmic d.x differentiation. dy %3D

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Q: The

A: This is Linear Differential equation in x. We use method of separation of variables.

Q: Find an integrating factor as a function of z = x ^ 2 + y ^ 2 for the following equation and then…

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Q: Find the differential of the function. = e dy =

A: y= e^(2x) dy = 2 e^(2x) dx

Q: Find the derivative of the function. - c() (수 1 - e9x 1 + e9x y = cos y' = 18e9z sin + e&= )…

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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: Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vec…

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Q: Find the differential dy of the given function. Y=x+1/3x-2 Dy=?

A: Given, y=x+13x-2

Q: Find the integrating factor. a. (xy + y2)dx + (x + 2y- 1)dy = 0

A: We have to solve the problem

Q: What is the integrating factor of the nonexact DE (4xy + 3y – x) de + æ (x + 2y) dy = 0?

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Q: verify fy = fyx 15. f(x,y)=log, 2x

A: Find fxy as follows: fxy=∂2∂ x∂ ylogy2x    =∂∂x∂ ∂  ylog y2x    =∂ ∂ y1xlny    =-1xyln2y

Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = (2 x3 − x2…

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Q: d If g(x) == _S^*[e' − In(2t+1)]dt, find g ''(x) . - dx -2 2 A (2x + 1)² 4 B (2x + 1)² 4 (2x+1)2…

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Q: 3 dy Find dx if y = cos vx + 4sin x – log 3(3x + 1)ž. إضافة ملف

A: We will solve the following