Let y = 4.x?. Find the change in y, Ay when x = 1 and Ax = 0.4 Find the differential dy when x = 1 and dx 0.4 %3D

Q: Let y = e=/5 Find the differential dy when r = 2 and dæ 0.5 Find the differential dy when z = 2 and…

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Q: (xy + 1)dx + (x(x+ 4y – 2)dy = 0

A: The given form of the differential equation is: Mdx + Ndy=0 Where, M=xy+1N=x(x+4y-2) The formula of…

Q: Given the function y = x3 + x² + x + 10, suppose x increases from 1 to 1.1. Find the absolute error…

A: We will find out the required value of absolute and percentage error.

Q: Let y = 5a2. Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4…

A: ∆y = 5(x + ∆x)^2 - 5x^2= 5(x^2 + 2x∆x + ∆x^2) - 5x^2= 5(2x∆x + ∆x^2)= 10x∆x + 5∆x^2 So when x = 4…

Q: The charge g= g(t) in the capacitor in an RLC circuit satisfies the differential equation da 800 dt…

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Q: Let y = 5x?. Find the change in y, Ay when x = 2 and Ar 0.4 Find the differential dy when a = 2 and…

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Q: Which of the following is an integrating factor for the differential equation? ty' – (t + 6)y = 4…

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Q: Let y 5æ?. %3D 0.1 %3D Find the change in y, Ay when x 5 and Ax 0.1 Find the differential dy when x…

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Q: Find the integrating factor of the following linear differential equatio rt P. 100 dP dt Select one:…

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Q: For a function y = g(x) the differential dy is given by:

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Q: Given y=5x+2−−−−−√, find the differential dy when x=1 and dx=0.3. Round your answer to three…

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

A: he have to find the intregating function

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

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Q: If df = y(xy + 1)dx - xdy, determine if is a state function of the variables x and y, if not, what…

A: Here we have to check that df is exact or not

Q: Match the differential equation with the appropriate slope field. y' = \ OA) B) |||||IVAA -411111 Y…

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Q: Find the differential equation of the following function (x – y + 2)dx + 3dy = 0 a. y = x + 5 + Ce…

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Q: Let y = 5/a. Find the change in y, Ay when æ 3 and Aæ 0.2 Find the differential dy when a = 3 and dæ…

A: Given function is y=5x (a) Change in y is calculated as follows.…

Q: Suppose that a certain population has a growth rate that varies with time and that this population…

A: First rearrange terms in the given ordinary differential equation  dyy=0.5+sint5dt since it is…

Q: Qz Sulve the fullowing differential equation y't yia

A: Note:-  as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: хау — ydx what is the d(xe» )= . The exact differential d y

A: differential equation

Q: For which value of k is the differential equation (x^k+y^k)dx + (2xy)dy = 0 becomes homogeneous?

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Q: when

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Q: Let y = e"/1. Find the differential dy when x =1 and dæ 0.2 Find the differential dy when a = 1 and…

A: This question is related to differentiation. We will use basic differentiation results to solve this…

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

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Q: What value of k would make the differential equation dx uy + In(x + 1) = a*y* variables separable?…

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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: (e* + y)dx + (2y + x)dy = 0

A: The given differential equation is in the form:  M(x,y) dx+N(x,y) dy=0 where M=ex+y, N=2y+x So…

Q: Let y = 4 a. Find the change in y, Ay when x = 3 and A¤ = 0.3 %3D Find the differential dy when x =…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the differential equation of the following function (х — у + 2)dx + 3dy —D 0 a. y = x + 5 + Cea…

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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 1 and Ax = 0.1 Find the differential dy when x = 1 and dx 0.1

A: Let y=5x^3

Q: 2. If y = find the differential dy. Hence, estimate the value of 1 + (1.023 1 +

A: topic- differentials

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

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Q: Let y 52 Find the change in y, Ay when 1 and Ar 0.3 Preview = 1 and da 0.3 Find the differential dy…

A: Refer to the question , the provided equation is y=5x^(2 ) and we have to find the change in y when…

Q: Q16: Is the differential equation (cos x+ In y) dx + dy 0 exact? %3D

A: Let us consider the given equation Mdx+Ndy=0 The equation is said to be exact if ∂M∂y=∂N∂x The…

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

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Q: Given y = 4e* + In x, find the differential dy. %3D

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Q: dy Plot the slope field for the differential equation dx = y?- - x and sketch the solution for the…

A: Solution is given below:

Q: Let y = 3a. Find the change in y, Ay when x = 1 and Ax = 0.4 Find the differential dy when x = 1 and…

A: Given that: y=3x       NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: Let y = 4/T. Find the change in y, Ay when x = 4 and Ax = 0.1 Find the differential dy when x = 4…

A: Given:- f(x) =4√x To find :- Change in y , Δ y when x = 4 and  Δ x=0.1  Differential dy when x= 4,…

Q: Given the equation y=2x^2+2x, determine the differential dy for x=3 and dx=0.4. Round your answer to…

A: Given y=2x2+2x. We need to find the differential dy for x=3, dx=0.4

Q: Find y, only for the following differential equation using method of Undetermined Coefficients. d²y…

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Q: Let y = 3/. Find the change in y, Ay when x = 1 and Ax = 0.1 Find the differential dy when x = 1 and…

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Q: 3 y = √√2x + 7

A: Given,  y=2x+73 or x=y3-72

Q: Assume y is related to x through the differential equation: dy = b- y da where a = -0.5, b = 3.1,…

A: see below the answer and calculation

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…

Q: Find the differential equation of the family of curves y = mx + b where m = b.*

A: We have to solve given problem:

Q: Find the differential dy and (b) evaluate dy for the given values of x and dx. y=ex/10 , x = 0, dx…

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Q: dy What value of k would make the differential equation + In(x + 1) x°yk variables separable? dz

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