dy In(5a + 2) Find for y = %3D dx

Q: 3) Find dy dx a) y = x+In(sec 3x) %3D In(x+)

A: solution:-

Q: dy/dx of x + y + xỵ = 3

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Q: r3 V9-x² »6-x-y dz dy dx in the order dz dx dy 0,

A: Given triple integral is ∫03∫09-x2∫06-x-ydzdydx

Q: d y = -4 at x= 0. dx dy +2- +5y=0, where y = 2, dx dx

A: We have, the given differential equation as d2ydx2+2dydx+5y=0 Therefore, D2+2D+5y=0 Thus, auxiliary…

Q: dy In(4x + 4) Find for y %3D dx 5e4x dy %3D dx

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Q: dy Find of y=: dx InIn2r

A: We need to find derivative of y.

Q: dy In(3x + 5) Find for y = - dx 8e3x dy %3D da

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Q: dy y = In 1-х2 dx 1+ x2

A: To find: The derivative of y=ln1-x21+x2. Concept used: Chain rule of derivative: fgx'=f'gx·g'x The…

Q: -1 dy find dx If y = %3D (1-VE)

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Q: dy| 2х — 6 - Find- , where y = dx\x=1 x + 2 Enter the exact answer. dy dx=1

A: Solve

Q: dy dx Find t3 de +1 ソニ 1-3x

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Q: -3 dx dy 0, y2

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Q: Sdz dx dy=1 dz dy dx=24

A: Given  a) ∫01∫12∫23dzdxdyb) ∫01∫x2x∫0xydzdydx

Q: (Зх — у — 4)dy — (х + у— 4)dx %3D 0 - -

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Q: dy In |= 8x+7y; y(0)=0 dx

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Q: Find dy/dx in terms of a and y if aty – x- 2y- 2 = 0. dy %3D dx

A: It is implicit  derivative.

Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.

Q: Find dy/dx. 8. хеУ 3D 2ху + уs

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Q: dy Find dx if y In(x2 32)

A: Given:

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

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Q: Find dy dx if x=- and y and %3D dx 1+t 1+t

A: Given: x=t1+t and y=t21+t.

Q: dy — х) %3D У(у + x) 2 - х(у dx

A:

Q: dy - 3x2 + 4 y = In ² x – In x dx dx

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Q: y= In]3x+2)²/2x–1 dy 1. Find dx

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Q: (4 + e² ë*) dx + (1 +et) dy.so *) dy so A Scanned with

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Q: dy Find for y = dx dy dx 1 13

A: The required derivative is given below

Q: dy dzy If y = e2x –2e¬3x, Find at x = 1 dx 'dx2'

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Q: dy Find of y* = sin(e) + xtan-'x %3D dx

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Q: -dx + x(x² In y – 1)dy = 0 %3D 2+ 6y = 3xy3

A: We have to find the general solution of the given differential

Q: dy (1 + æ)* Find for y dx Ans=

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Q: dy Find the complete solution of 2 + 4y = 1 dx

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

A: SOLUTION-

Q: d*y dy is dx x dx ferential

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Q: Find dy/dx by implicit differeniation x2y+y2x =- 2

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Q: 3. Find dy/dx of: x(x-y)-xーy evaluated at x = 0.001 and y = 0.002

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Q: Find dy/dx in terms of t if x = t- 2, y = 2 + 1t dy/dx= [

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Q: dx 1. S. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

A: Note : as per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find dy/dx for the function. x² + 8y2 – 6 = 0 dy %3D dx

A: We need to find  dydx for the function x2+8y2-6=0. Let us differentiate both sides. So,…

Q: 3 Find dy for y= +3) dt dx

A: Given,

Q: x In y dy dx -1J

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Q: (х + Зу — 5)dx — (х — у—1) dy 3D 0 -

A: Given: x+3y-5dx-x-y-1dy=0 To Find: To solve the given differential equation.

Q: In(y? + 1)dx +2dy 0 y2+1

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

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Q: 4xy dx + 2x²° dy + loy - dx + 15 x y dy=0 t

A: given equation 4x2y dx+2x3dy+10y-dx+15xy dy=0 claim- Find non- exact or first order linear DE

Q: Find dy/dx, given that xy^3 -3y^2 +xy=1-3x

A: The main objective to calculate the derivative of the function xy3-3y2+xy=1-3x.

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

A:

Q: Find dy by dx Y= 1-x² ÷2-x

A: Given that: y=1-x2÷2-x

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

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Q: In x Find y' if y = e3 1 – 4 In x Based on your work from (a), evaluate - dx. -5

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Q: .2 dy Find for y dx V6 – x5 - dy %3D dx

A: We have to find dydx