What is the differential of x = 5y + 7y4 + 6y? – 8y3 ? O dy = (28y3 – 24y² + 12y + 5) da -- O dx (28y3 – 24y? + 12y + 5) dy O dy = (28y3 + 24y? – 12y+ 5) de O dx (28y3 + 24y? – 12y + 5) dy

Q: The differential equation obtained by eliminating the arbitrary constants A and B from the relation…

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Q: Find the differential dy for the given values of x and Δ x. y = 5x 2 - 2x + 3 ;  x = 2 , Δ x = - 1…

A: Given that: y=5x2-2x+3,  x=2  ,  Δx=-16

Q: Transform the following Bernoulli differential equation of the form 2+ P(x) · y = dx Q(x)y" or +…

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

Q: If f(x, y) = 2x² – 8y², then the total differential of f at x = 1 and y = -2 is : - O df = 32 dx + 4…

A: In total differential take the derivative of each terms, put the given values and simplify.

Q: --——-^*[e'-In(2t+1)]dt, find g'(x) . dx 4 A e*+ (2x + 1)² 4 B et + (2x + 1)² 2 (C) e*- - (2x + 1)²…

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Q: What is the differential equation of the orthogonal trajectories of х3 — Зху — у3 — с? (1) (x +…

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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…

A: Topic - approximation Using derivatives

Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.04. y = V3x – 2 A. 0.01…

A: Given that: y=3x-2x=2 to x=2.04

Q: y, thên thế total differential of and y O df = 11 dr + 16 dy O df = 15 dr + 19 dy O df = 12 dr +18…

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Q: What is the differential equation obtained by eliminating the parameter A from the relation y = A +…

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Q: If f(x, y) = 4x? – 8y, then the total differential of f at a = 1 and y = -2 is : O df = 8 dx – 32 dy…

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Q: Let y=5x^2Find the change in y, Δy when x=3 and Δx=0.2Find the differential dy when x=3 and dx=0.2

A: To find the following parts. 1.)find the change in y (∆y), when x=3 and ∆x=0.2. 2.)find the…

Q: What is the differential equation of the orthogonal trajectories of x3 = Cy? (1) Зxdx + 2уdy — 0 (2)…

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Q: Let y=5x2y=5x2.Find the change in y, Δy when x=3 and Δx=0.2   Find the differential dy when x=3 and…

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Q: (a) Evaluate the following derivatives: d ) cos(V5r" - 2)át. s(V5r² – 2)dt . (i) dx J2 d cos V5t – 2…

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Q: Use the differential dy to approximate Ay when x changes from x = -3 tox = -2.99. y = x2 + 1 Enter…

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Q: Transforming A S B © D dx secx + 1 7 dz 1-2² 1==323d² -dz 1+z² [1+2²21 2-272 1+z² -dz -dz using…

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Q: 2. Test the following differentials for exactness: (a) dF = 2xy² dx + 2yx² dy (b) dF = 8x dx (c) dF…

A: The given data is: a dF=2xy2 dx+2yx2 dy       .......(1) For the differential equation dF=Mdx+Mdy…

Q: - Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

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Q: Find the differential dy. (а) у — ху5 xv5 – x dy = (b) y = (1+x)-9 dy

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Q: The order of the differential equat 2x2 - 3+y = 0 dy + y = 0 dx2 dx O not defined O 2

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Q: Find the differential dy: y = In(sec² ( 3"-2*+5)). Find the differential dy: y = In(sec? ( 3-2x+5…

A: We have to differentiate given function

Q: Let y = 3x² + 3x + 4. ind the differential dy when x = 4 and dx = 0.4 ind the differential dy when x…

A: Given query is to find differential at given point.

Q: If f(x, y) = 4x² – 6y², then the total differential of f at x = 1 and y = -2 is : O df = 24 dx + 8…

A: df=dx+dy (see step 2).

Q: v = ) V In(2x-3y

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Q: 2. Find the differential du of the given functions. (a) y = (12 – x²)3/2 dy = -3r/12 – x² dx (b) y =…

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Q: (a) Find the differential dy of y = x² + 2x + 5. (b) Evaluate dy for x = 3, dx = 1/2. (а) dy 3 dx…

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Q: Find the differential equation of the following function (x – 3y + 2)dx + 3(x+ 3y – 4)dy = 0 x-1 a.…

A: The given differential equation is x-3y+2dx+3x+3y-4dy=0.....(1) We shall solve the differential…

Q: If f(x, y) = 2x² – 8y², then the total differential of f at x = 1 and y = -2 is : df = 32 dx – 4 dy…

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Q: What is the differential equation obtained by eliminating the parameter A from the relation y = A+…

A: In this question we need to find a derivative of the given equation.

Q: Obtain the differential equation of the given family of curve: y² : C-x a. 2x³y' – 3x?y – y³ = 0 b.…

A: Given curve : y2=x3c-x ⇒c-x=x3y2

Q: What is the differential equation of the orthogonal trajectories of х3 — Зху — уз %3 С? (1) (x +…

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Q: Let y = 3x² + 8x + 3. Find the differential dy when x = Find the differential dy when x = 2 and da 2…

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Q: The total differential of the function: z=x*e3y . .A dz = 3x "e3Y dx +4x³e3Ydy. .B dz= 3x"dx +e3ydy.…

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Q: Find dy at x = -1 if y = u’ +5u – 4 and u = x² +x . dx

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Q: Evaluate. The differential is exact. (1, 2, 5) (2xy2 - 2xz2) dx + 2x2y dy - 2x2z dz (0, 0, 0) O -21…

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Q: If f(x, y) = 3x? – by, then the total differential of f at x = 1 and y = -2 is : O df = 24 dx – 6 dy…

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Q: Which of these differentials is exact? (only one of them is exact) (1 – 2xy)dx + (x² + y²) dy O (22…

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Q: If f(z,y) = 3z² - 8y, then the total differential of f at z =1 and y = -2 is: %3D O df = 6 dz + 32…

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Q: Find the differential equation of the quartics : c^2y^2 = x ( x - a )^3 with c held as fixed.

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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. sec² x y x² + 2 sec 2x (2x²tan x + 4 tan x-2x)…

A: This question is based on quotient rule

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: Use the differential dy to approximate Ay whenx changes from x = -2 to x = -1.96. %3D y = x² + 1

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Q: Verify that the indicated family of functions is a solution of the given differential equation.…

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Q: If f(x, y) = 4x²y+7xy°, then the total differential of f at x = 1 and y = 1 is : %3D O df = 15 dx –…

A: Use formula of total differential

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: a) Find the differential dy of y=x2+2x+5. (b) Evaluate dy for x=3, dx=1/2. (a) dy=????????? dx (b)…

A: GIVEN THAT y=x2+2x+5

Q: Which one is the differential operator for the equation d²y dy 2x dz r + y = 0 ? dz² 2²D² – 2xD+1 x2…

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