Write the linear DE of order one x2dy +(2xy- x+ 1)dx = 0 in standard form + yP(x) = Q(x) or dx + x P(y) = Q(y). 2 1 (A dx 1 B y(- 1 1 x2 1 1

Q: Find the differential dy of the function y = 3x ' O a) dx b) 3x dr c) x 4 In(3) 3 d) dx e) 글x dx

A: We are given y =3x^(1/4)  To find dy just differentiate y with respect to x

Q: Reduce the linear DE (2xy+x² +x*)dx- (1+x)dy=0 to standard form dy + yP(x) = Q(x). dx dy A +y(2x)…

A: We need to reduce the given differential equation in to linear differential equation form. By…

Q: $5y dx + 4x dy,where C is the square with vertices (0, 0), (2, 0). (2, 2), and (0, 2) oriented…

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Q: use Separation of Variables to find the general solution. dx/dt= (t + 1)(x2 + 1)

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Q: Find dy/dx in Exercises 1–6. 1. y = x/4 3. y = 7Vx + 6 2. y = V2r %3D 4. y = (1 – 6x)/3 - 5. y =…

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Q: (a) ſ x sin(2+ x²) dx (b) Sí Зи du u²+u–2 (c) ſi z dx 2 x²+x+7 (d) * x²e-3x dx -Зх

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Q: 1. Classify the D.E. 2xe dx + (x²e + 1)dy 0.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: use the chain rule to find dy/dx y=(u+1)2;u=1-x

A: Given:The chain rule of differentiation states that:Applying the derivative with respect to x and…

Q: Let y : 2x + 3x +4. Find the differential dy when x = 5 and dæ 0.3 Find the differential dy when x =…

A: Given, y=2x2+3x+4 Differentiating with respect to 'x', we get dydx=ddx2x2+3x+4=2×2x+3×1+0=4x+3…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y%3D 2x . -5 dy

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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: Let y = 5x² + 5x + 3. Find the differential dy when x = 1 and dx = 0.1 %D %3D Find the differential…

A: Topic = Derivative

Q: 2. Identify the 3rd order nonlinear DE. 3 (dy` A. ( +x³y – xy³ = 0 dx. d³y d²y +y dx2 В. = 0 dx3 d³y…

A: Check each options while it is 3rd order as well as nonlinear differential equation.

Q: Reduce the linear DE (2xy+x² +x*)dx- (1+x?)dy=0 to standard form + yP(x) = Q(x). dx dy -2x (A +y dx…

A: The given ODE is: 2xy+x2+x4dx-1+x2dy=0

Q: Reduce the linear DE (2xy + x²+x¹) dx − (1+x²)dy=0 to standard form (A) +y−2x)=x?(1+x2 dx dy B…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 1 dy = y = 5 (4x-1)² X

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Q: Reduce the linear DE (2xy+x² +x*)dx-(1+x)dy=0 to dy standard form + yP(x) = Q(x). dx dy…

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Q: Let y = 3x2. Find the change in y, Ay when x = 2 and Ar 0.2 Find the differential dy when x = 2 and…

A: We have to find solution

Q: Find the first and second partial derivatives (that is dx' dy? Əx², dy² > and Əxðy of (a) f(x, y) =…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: dy Reduce the linear DE (2xy + x²+x¹) dx = (1+x²) dy=0 to standard form dx (A) +y dy dx -2x 1+x² =x²…

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Q: Compute dy/dx using the chain rule in formula. State your answer in terms of x only.  y = u3>2, u…

A: Given equations - y = u3+2           .....(1)                                                  In…

Q: Find all second partial derivatives of the function f(x, y) = xy + x° + y at the point xo = (2,4). =…

A: Consider the case of a function of two variables, f(x,y) since both of the first order partial…

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

A: Quotient rule of differentiation:

Q: .2 .2 Let 15x + 26xy + 8y? – 2x + 2y – 1 = 0. dy at the point dx Use partial derivatives to…

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Q: The standard form of 3dy-xydx= 3y%e*/3 by Bernoull's equation is: dx A Зе dy xy = 3e**/3,3 dx 3 x-…

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Q: hello! can you help me with this calculus problem?

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Q: (a) Find the differential dy of y= /4+ 5x. (b) Evaluate dy for æ = 0, dx = .04. (a) dy dx (b) dy =

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Q: Evaluate xy dx + a*dy, where C is the rectangle with vertices (0,0), (2,0), (2,1), and (0,1)

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Q: Find the Wronskian for the differential equatio: dy dx2 fip dx 3 10y = 0

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Q: dy In(5a + 2) Find for y = %3D dx

A: Giveny=ln(5x+2)7e5xdifferentiate…

Q: 1. a- Find a result by using variable separation for dy dx b- y³y+x³=0

A: Note:- These are multiple questions and acording to our company guideline we can do maximum 1…

Q: Determine the solution for this DE 1.) du/dx = (u2-x2) / (x2-u2 ) , u(1) = 0

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Q: Find the differential dy of the given function. y = V 3 - x2 dy =

A: Find derivative

Q: dy Reduce the linear DE (2xy+x2+x*)dx- (1+x)dy=0 to standard form + yP(x) = Q(x). dx 2х +y |=x2 A dx…

A: Differential equation

Q: Determine the of : In (xy²) = x y dx

A: Derivative dydx of equation  lnxy2=xy

Q: The standard form of 3dy- xydx= 3y e* 4x/3 by Bernoulli's equation is: dx = 3e /3,3 ху A dy B y…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 3Vx + X. dy = | %3!

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2 – - 6 dy = f(x)dx

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Q: dx 2x - y dt dy

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Q: Reduce the linear DE (2xy +x2+x*)dx- (1+x)dy=0 to standard form dy + yP(x) = Q(x). dy 2x +y 1+x? A…

A: Please refer the attached image for complete solution. THANK YOU.

Q: When reduced to a linear DE of order one in z, the Bernoulli's equation +y)=3x<y becomes dx dz 1 A…

A: Topic  =Differential equation Correct option  = A

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

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Q: Let y = 2x². Find the change in y, Ay when x = 4 and Ax = 0.2 Find the differential dy when x = 4…

A: It is provided that y=2x2. We need to determine ∆y for x=4, ∆x=0.2 and We need to determine dy for…

Q: (у — сos-x)dx + cos x dy %3D 0

A: The given equation is y-cos2xdx+cosx dy=0 rewrite it as y-cos2x+cosx…

Q: Identify the Bernoulli's equation of first order ODE. а. dy +10xy = y sin x dx ,3 b. dy +10x²y = sin…

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Q: Find the differential dy of the function y=(cos(x))(7x) a. dy=-7x(sin(7x))dx b. dy=(-cos(x))(7x)dx…

A: To Find the differential dy of the function y=(cos(x))(7x)

Q: Reduce the linear DE (2xy+x2+x*)dx- (1+x?)dy=D0 to standard form dy + yP(x) = Q(x). dx dy A)…

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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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