II. Determine the order and degree of given DE d?y 1. dx2 = k[1+ dy/dx]³/2 Vdy/dx dx3 2.

Q: Express the relationship between a small change in x and the corresponding change in y in the form…

A: Consider the given function

Q: Assume x and y arefunctions of t. Evaluate dy/dx for the following.  y3=2x3+88;   dx/dt=3,     x=4,…

A: Given, y3=2x3+88dxdt=3x=4, y=6

Q: dy xe dx to

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Q: Let y = x. Find dy and Ay at a = 8 with dx = Ar = 1. dy Ay =

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Q: Q22. If y=tan x+ tan dy is: -then dx 2 (d) 1+x (a) 0 (b) 1

A: Given function is                                          y=tan-1x+tan-11x we have to find…

Q: Using dy 3 =dx and dx = 0.03, what is dy whenx = 2? 2V3X – 2 dy i (Write as an exact decimal.)

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Q: Find dy/dx and d²y/dx2. x = t?+ 3, y =2 + 7t 2t +7 dy dx %3D 2t 4t – 2( 2t + 7) dzy dx2 For which…

A: We have to find dydx and d2ydx2.                                              x=t2+3, y=t2+7t

Q: dy Find given 3xy = In x. %3D dx

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Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+ x² + y²)²

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Q: Find dy/dx in following. )y=x' costx + xsin?x -2

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

Q: Find P.I of the given d'y 5. +6y ex dx sdy dx?

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Q: dy olution of the DE =CO dx 2x + C nx + C (x) + C

A: We have to choose the correct answer from the given options according to the given information

Q: Evaluate e* dx dy by using trapezoidal and Simpson's rules.

A: Hello. Since your question has multiple parts, we will solve the first integral by first method for…

Q: Find dy/dx for the fo d) x' + x.tan y = y -1

A: There are multiple question, As per our company policy ask other question separately. d.

Q: dy is : If x- y 0, then %3D dx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Given dy dy +2- dx + 5y = e and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the %3D…

A: Hi! You have posted multiple questions. As per norms, we will be solving only one question. We will…

Q: If y = xcosx, what is dy if x = and dx = 0.2 ? 0-1/2 0-20 05/0 O EN T 10

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Q: EXAM Q1-If x= cot-1 VE, y =,-. find dy d2y dx' dx2 at t = 2.

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Q: d'y Find dx? given that 5xy = 25. Oa. O a. dy 2y 2 dx2 Ob. d'y 2y x2 Oc. d'y ,2 dx? O d. dy dx?

A: Topic:- Derivative Correct option = b

Q: 1.) Find dy/dx. Given: x2 +y? = 25 2.) Find dy/dx. Given: x? + y = x³ +y? 3.) Find dy/dx. Given: x +…

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Q: Find dy/dx in terms of t if x = te', y = 4t + 4e* dy/dx =

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Q: Given tanh-1(xy) = xy, find d²y dx2

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Q: dy 18. Given y = 5t ( 3 - t), t = In p and p = e*. Find and simplify %3D dx

A: Given: y=5t3-t, t=lnp, p=ex   As we know from the chain rule; dydx=dydt·dtdp·dpdx    .....(1)   The…

Q: dy d’y The order and degree of the DE + = 0 respectively, are and dx dx?

A: The order of a differential equation is the highest order derivative it contains. The degree of a…

Q: Find the value of dy/dx at the given point. (Verilen noktada dy/dx değerini hesaplayınız.) xe' + sin…

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Q: Rewrite using the order dy dz dx. [L² dz dy dx = 5 5. O dy dz dx

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Q: dy Find , if dx y = 3u – 2 and u = 2x² - 4. dy Preview dx

A: Topic = Derivative

Q: Label each of the following as linear, separable, or both; dy – 3x? – y dx dy 5y3 = 0 - dx dy + 3x?y…

A: A differential equation is linear only if it satisfies the conditions below. The degree of the…

Q: dy Find dx at the point ( x, y ) = (1 , 0) If e *y = e * In(x²) + y² + 1 %3D

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Q: dy Find dx for y = (1+ æ)* || Ans=

A: Here we can find the derivative as below.

Q: -If x= cot- VE, y = ;, find dy dx'dx2 at t = 2.

A: We will use the formula (f(g(x))' = f'(g(x))g'(x)uv' = vu'-uv'v2 Given x = cot-1ty = 1t+1 Then dxdt…

Q: dy if y = vt' -e' and x = dx Determine In(6t)

A: dy/dx = [7/2 t^5/2 - e^t] [ln(6t)]^2/ t^2 [3ln (6t) -1]

Q: Calculate dy/dx if x and y are related as below xe" – y=x 2

A: To determine:

Q: Given x = 8 In(t) and y = 64 t² then find dy %3| dx d²y %3D dx? ||

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Q: dy Differentiate implicitly to find dx 2x+7xy + 9y + 19y- 8 = 0 + dy %3D dx

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Q: Given y=u^3−u+1 and u=1−x/1+x​, find dy/dx​ at x=0

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Q: dy Find dx' given In y = e" sin x

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Q: Find d^2y/dx^2.  x=4sin(t), y=5cos(t), 0<t<2*pi d2y/dx^2 = For which values of t is the curve…

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Q: dy Find for the following function. dx 3 - cos X y = 4 + coS X dy dx II

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Q: Given x 6 In(t) and y = 36 t2 then find %3D dy dx dy dx? ||

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Q: dy What is the value of dx at the point (1,0) if y = In(x² + y²)? %3D Undefined O 1 O 2

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Q: 25. Consider the equationdy/ dx = (y − 4 x)/( x − y) .a.Show that equationcan be rewritten as (30)…

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Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)

Q: Given tanh(x)+ tanh (y) = 1, show that, dy 1- y? dx 1- x2

A: We can find the required answer as below

Q: dy y(ln y- In a +1) %3D dx

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Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+x² + y²)²

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Q: 37. Use Fubini's Theorem to evaluate dx dy. 1 + xy

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Q: Let @ = 7e* dx ^ dy + ae³ dx ^ dz and n = 7e*y dx + 14e* dy+ e³ dz, where a E R. Find the value of a…

A: Given: 2-form, ω=7exdx∧dy+αeydx∧dz. 1-form, η=7exydx+14exdy+eydz.  where α∈ℝ. To find: The value…