dy Find dx x2 y = dt dy dx (Type an exact answer in terms of e.)

Q: If x= sint and y = cost then 2 dx dy dt dt O 2 O -1 O 1 O O O None of these

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Q: dx + dx dy e; dy = x +y Use elimination to solve: dt dt dt dt

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Q: Given x= 2y? , evaluate dx dy at y = 1 and dt dt 3.

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Q: dx at x = 3 if y = – 2x² + 5 and dt dy = – 5. dt Find - dx dt Submit Question

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Q: Which of (a) or (b) is equal to d/dx (x sin t)?

A: We have to evaluate ddxxsint

Q: Find the differential dy of the given function. (Use "dx" for dx.) y dy

A: use chain rule while differentiating

Q: Find dy/dt y=(40+e^t)ln t   dy/dt

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Q: Solve for an autonomous equation? dy/dt = f(y)

A: An autonomous first-order ordinary differential equation is an equation of the form

Q: t y = t dy Find dx 1 8t dy dx t dy Find dt dy dt + II II

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = V4 - x2 dy =

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Q: e-Using dy dx dt + Зу -5х —е t — dt dy +x+y- 3 = 0 dx dt dt

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Q: Find dy/dx: а. y = cos t dt

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Q: *show work*

A: Find dy/dx.

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

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Q: (a) Find dy/dt, given x = 1 and dx/dt = 8. dy/dt = (b) Find dx/dt, given x = 36 and dy/dt = 3. dx/dt…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=6√x + 7 x dy

A: To find the differential dy of the given function.y=6x+7x

Q: (a) Find the differential dy of y = e#/5. (b) Evaluate dy for a = 0, dx = .1. (a) dy = dx (b) dy =

A: Solved below

Q: dx dy 1. +у%3х, Зу dt dt

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Q: 9. Sinte)e x(t² + 1)dt = x ,(t² + 1)dt S' 2* dx < S, xdx 10. dx = dx + dx 11.

A: 9.∫ln(e)0ln(e)ex(t2+1)dt=x∫0e(t2+1)dt10.∫012xdx≤∫01x dx11.∫131xdx=∫151xdx+∫531xdx

Q: (a) Find the differential dy. y = 1/x+1

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Q: dy dx 1+ey

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Q: dy Find dx S cos (1)dt y = dy dx II

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Q: Find the differential dy. (a) y = xV10 - x dy = -2 (b) y = (1+x) ? dy =

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Q: Given: y=fso(x-1) dt - dy =D{(x). dx show that

A: We will prove the following result using Leibnitz rule.

Q: d Evaluate In(et – t²)dt. Briefly explain your answer. dx '1

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Q: Find the differential dy of the given function. y = csc 5x dy dx

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Q: (b) x²e3 dx (d) arctan 4t dt

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Q: Find the differential dy of the given function. y = √3-x² dy X 3 - x Submit Answer =dx 2

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Q: Find dy/dx: a. y = cos t dt 0,

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

Q: 2. Find dy/dx a) y = dt, x> 0

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 2 y = 4х — 3

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Q: dx dy 1. " + y = x , dt = 3y dt |

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Q: Find dy/dx: 1. y = J" cos t dt

A: Given

Q: Find the differential dy of the function y = Provide your answer below: dy = dx 5x4 + 4 4x + 3

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Q: Consider the following. y = dy Find dx dy xp dy Find dt dy dt Need Help? Read It

A: y = (t/x7) + (x/t) , can be written as y = t x-7 + x t-1  Using formula d/dx(xn ) = nxn-1…

Q: Find the differential dy of the given function. y = V9 - x dy

A: Given y= √(9-x2) To find dy/dx

Q: Find dx 2n S sin (P) at (?)dt y=

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Q: dy Find dt y = (t sin t) dy dt

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 2 y = 5x - 9 dy =

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Q: d 2x Le arctan t dt dx

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Q: Find dy/dt using the given values. y = x3 - 5x for x = 3, dx/dt = 4. dy dt

A: Value of dy/dt= 88 See the calculation below

Q: dy Find dx 1/4 y = S sin (*)dt dy dx II

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Q: Find the differential dy of the function y Provide your answer below: dy= dx = 5x4 + 4 4x + 3

A: y=5x4+44x+3Differentiate w.r.t xdydx=4x+320x3-5x4+444x+32

Q: dy Find dx' 1/2 J cos (?) dt y =

A: topic - derivatives and integration

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

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Q: dy Find dt y = (t sin t)6 dy dt

A: Given: y=t sin (t)6 We have to find dydt: Consider, y=t sin(t)6=t6 sin6(t) To find dydt…

Q: Find dy/dt using the given values. y = x3 − 2x or x = 5, dx/dt = 3   dy/dt=

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Q: dx +x= e', dt dt %3D

A: In the given question we have to find function x and y.

Q: Find the differential dy of the function y = 4 sin (2x). Provide your answer below: dy=dx

A: Solution

Q: Find dy/dx if y = J' V1 + ² dt. Explain the main steps in your calculation.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.