dy .? dx %3D Suppose x and y are variables that satisfy the equation x2 – y³ = 12. What is

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

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Q: Find the solution. (x+e") dy – dx=0 A x=ce" + ye* y=ce"+ xe" R

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Q: nd and of the following equation then simplify whenever possible. dx dx2 x = 3em y = 2mem

A: Given is x=3em and y=2mem. The rule of differentiation in case of parametric equation: dydx=dydmdxdm…

Q: y? If dy 1 then find the value of at the point (-3, 2) 62 dx 62 2a? -362 2a? 362 2a? 3a? 262 +

A: Given that, x2a2+y2b2=1 We need to find the value of dydx at the point (-3,2)

Q: x dy – y dx = x³ dx %3D ye Answer: 4x + x*y = Cy. %3D

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Q: Solve the following equation by separating the variables: (4y + yx²)dy – (2x + xy²)dx = 0

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Q: 2. . For what values of m does the function y = Aet satisfy the following equation? d'y dy + бу = 0…

A: find d2ydt2,dydt and substitute in the given differential equation and solve for m

Q: dy xev-x*); y(0) = 0 %3D dx

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Q: I dv= 3x y dx

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Q: Зх + 7y h(x,y)%3D find and dx ду ху - 10

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Q: Determine for which values of m the function ø (x) = e" is a solution to the given equation. d²y dy…

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Q: of x = Y ? x+y dy x-y Q2 Find dx

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Q: l equation of y" os(3x) +C, s 3r)

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Q: 3x dz Find x- : +y , if z == 3x-4y dz ду За — Answer:

A: Explanation of the answer is as follows

Q: The sales of shirts and ties at a store are related by the equation 0.6x³ + 3xy + 8.3y³ = 78659.1,…

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Q: Q: Classify and Solve dy + (1- 2x)y 4x ,x >0 dx

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Q: (y – x) dx + 15x?y? dy

A: answer is in next step

Q: (y - x)(y + x)(y? + x2)(xdy- ydx) = x°dx

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Q: Find da? for y = sec(x) d'y dx2

A: y = sec xdydx = ddx( sec x)        = sec x . tan x d2ydx2 = ddx( sec x . tan x)           = ddx(sec…

Q: ing factor of the equation, (r +y° +1) dz (xy+ y) dy = 0, z +1 7 0. (z+ 1) * C. (x + 1)* D. e(z+1) *

A: We have to solve

Q: Which of the following equations is variable separable? a. (x2 + y?)dx – xydy = 0 O b. (3x? – y?)dx…

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Q: Find d?y/dx2 for the following equations: e) xy + y2 = 1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 10. y? = x3 Find dy in terms of and y. da

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Q: dy 2xy x² + y? dx ,2

A: I am attaching image so that you understand each and every step.

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Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is Blank 1 dx

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Q: Rewrite the following equation with the variables separated. y' (y²+3)(e² ) dy et dx %3| ( y²+3) dy…

A: Explanation: Given that: y'y2+3ex=2 Concept: 1. y'  represents dydx

Q: solve (x? + y) dx + (y³ + x) dy = 0. A yª + x + B + x + y + (c) = C ,3 3/7 3/4

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Q: 人p dx find メP 4. Y= 3*J5x+7

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Q: dy If x and y satisfy the equation x³ + y³ = 4xy, find dx

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Q: Find d'y/dx2 implicitly in terms of x and y. x?y – 6x = 8

A: Given  x2y - 6x = 8 We have to find d2ydx2 implicitly in terms of x and y.

Q: Find the particular solution of (y + Vx? + y²)dx – xdy; when x = v3, y = 1

A: The differential equation is given as y+x2+y2dx-x dy = 0x dy = y+x2+y2dxdydx= yx+x2+y2x2dydx=…

Q: Find dx d'y , if x=t-r and y=t-t.

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Q: Given (x + 6y? ) dx - 4xdy = 0, when x = 1, y = 1. Find the particular solution.

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Q: Ihe value of | y°dx + xydy Corresponds to: 17 A) 4 17 B) 4 -- 4 C) 3 19 D) 12

A: Given that: C1 : y = x+2 C2 : line segment from (-2,0) to (0,0) C3 : y = √x C4 : line segment from…

Q: dy Solution of dx + 2xy = y is (а) у %3D се* (b) y = ce – x (c) y = ce* (d) y = ce

A: To find the solution.

Q: Find dy for the following equation. y = 3x/12-x

A: y=3x12-x3 We need to calculate, dy=____dx

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Q: (* + '*)") = 3 (x +>y') /i +y? 3/2 dx

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Q: dy If = (y – 4) sec? r and y (0) = 5, then y dx

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

Q: a dx a+x e

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Q: find dy and d'y 2. Xp dx² t. to Y=te

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Q: If x² + d'y y? = 1, then dx?

A: Given that: x2+y2=1 To find : d2ydx2