If y = Vu+2 and u 4x - 2, then dy/ dx is

Q: Solve for dy/dx and dx/dy: 8xy+2x^4y^-3=x^3

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Q: Find P.S. of (16x+5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-³)

A: The given equation is: (16x+5y)dx+(3x+y)dy=0⇒(16x+5y)dx=-(3x+y)dy⇒dydx=-16x+5y3x+y⇒dydx=-16+5yx3+yx

Q: Find dy dx If y = 1- t² and x = 4+²

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Q: 64–z2 xy dy dx dz :

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Q: If xe = 1, find dy/dx. dy dx

A: The detailed solution mentioned in step 2

Q: Find the general solution of

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Q: x-y 2 dx dy wer (2x-u)

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Q: Find dy/dx, if y=(x^2+2)^4 (2x−3)^5 dy/dx = _______

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Q: 13. (x² + y²)dy dx

A: The given double integral is,

Q: Show that if you differentiate both sides of x2 +2y³ = 6, the result is dy dx 2x + 6y² = 0. Then…

A: Given function is x2+2y3=6 Power rule of differentiation states that  ddxxn=nxn-1 And ddxconstant=0…

Q: Find dy/dx and d2y/dx2 without eliminating the parameter. x=1-t^(2), y=1+t

A: x=1-t2,  y=1+t Differentiating with respect to t, we get dxdt=0-2t  &  dydt=0+1⇒dxdt=-2t  &…

Q: If y=x^2 e^2x then dy/dx is equal to

A: we have,y=x2e2xdifferentiating both the sides w.r.t. xusing product rule,we…

Q: Find the solution of dy 2x- +y =x is dx

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Q: Find P.S. of (16x +5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-3)

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: (1 - 2x + 4y) dy dx y

A: To evaluate the given iterated integral.

Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

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Q: Obtain the general solution to the equation. dy 1. y + 2x + 1 dx

A: Given that: dydx=yx+2x+1

Q: Show that if you differentiate both sides of x 2 + 2y 3 = 6, the result is 2x + 6y2 (dy/dx)= 0. Then…

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Q: -if y=x² the dy dx

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Q: dy Find if dx y = 7u + 2 and u = 9x-3. dy dx Enter your ar

A: Given:    f(x) = 7u + 2       u = 9x - 3

Q: bx a a dy dx 0. 0,

A: The value of the given double integration is ab/2

Q: 1. (ex-y)(1-e²y)¹/² dx = dy

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Q: So S (2x – sin(y)) dx dy.

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Q: If x2+y2-2axy=1  then find (dy/dx)

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Q: (1) Find the general solution for (+) dx + (--) dy = 0 %3D

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Q: Find the general solution of  dy/dx + y/x= 3/y

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Q: Let y=(4x+2)^3 Find dy/dx dy/dx=

A: Given,             y = (4x + 2)³

Q: Find the general solution by means of separation of variables if: dy = xy -x dx

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Q: If y = arctan (4x² + 4x + 5), dy dx

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Q: 3 7x + 6x - 5x dy find dx - Example 28. If y = 4

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Q: tan dy| 2 Find dxlx=7 for the equation y = (Vx + 1) 2.

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Q: dy dy = xy + 3x – 3x dx dx

A: The given differential equation is: dydx-x2dydx=xy+3x-3x3Therefore:dydx=xy+3x1-x21-x2

Q: if y =(5x+1) 2x^-1 + INx then dy/dx will be

A: our objective is to find the derivative.

Q: dy e2x -3 Find if y = In %3D dx 1-4x

A: SOLUTION-

Q: Solve the homogenous diff equation of; dy dx x²(y² + 3) y(x³ + 1) 0

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Q: (ve* +y)dx+(2xye* +1)dy = 0

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Q: 2-dy dy. y2 dx 12 ナ /2

A: We have to solve the given equation. The given equation is 2-dydX=y2X2+yX+1    ......(1)

Q: Show X -メ+1 =ソ- Can be reduce d to homegenons equation 2X +y-! メ+ 2y t1 dy dx

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Q: 8) a) Find dy/dx if: e3x = x+y b) Differenctiate y = (sin r)"

A: We know that general derivative of d(xn)/dx is nxn-1. And derivative of d(sinx)/dx = cosx  d(lnx)/dx…

Q: Solve dy/dx−6y=3 subject to y(2)=2

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Q: dy 2y = 2x/y %3D dx

A: The solution of the problem is given in the next steps.

Q: Suppose that y = 2(x² – 2æ)-5. dy Find dx dy dx II

A: For the solution follow the next step.

Q: Find dy/dx and dx/dy from 6x-x'y +4x 0

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Q: 19. Find dy/dx. y = x²

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Q: *-Zy dy dx 2x

A: We need to integrate ∫02∫2x4e-x-2ydydx

Q: 2 Z - 6 A xy dy dx dz 3.

A: ∫03∫09-z2∫0xxydydxdz

Q: if y =(ln x +1)(2x3 -3x), then dy/dx will be _________

A: Use the formula of differentiation of product of two functions to solve this problem.

Q: If y = (x² - 3x +2)(x² - 2), find dy/dx and evaluate dy/dx when x = -1

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Q: If y=u³ and u = 4x² - 2x + 5, give dy dx

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