G. (3x ty - 2)dx + (3x ty +4)dy <0

Q: Z4 =:₂₁ (4x²yz - dz dy dx S₁

A: Given ∫23∫-14∫104x2yz-z44dz dy dx ∫23∫-14∫104x2yz-z44dz dy dx=∫23∫-14∫104x2yz dz dy dx -…

Q: 9-x² - y² SS. 0 9-x² 0 √√x² + y² dz dy dx 2

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Q: dy Q1: - find ay/dx for y = 5cscx3

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Q: Q2 /Find dy/dx, if: (1) x y+y =x2 (2) y = 3x* -5x' +10 у -

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Q: d/dx (dy/dx)` x=1, , where y = x3 + 2x - 11

A: To find: The value of ddxdydx at x=1. Given: The function is y=x3+2x-11. Formula used: Power rule of…

Q: y (8x - 9y) dx + 2x (x -3y) dy = 0 where x = 3 and y = 7

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Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

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Q: 3.b) Evaluate the DE * 3x(xy – 2) dx + (x³ + 2y)dy = 0

A: Given that: 3x(xy-2)dx+(x3+2y)dy=0

Q: a. By differentiating x2 - y2 = 1 implicitly, show that dy/dx = x/y. b. Then show that d2y/dx2 =…

A: The given equation is

Q: G3- y²sinx+3e3*)dx+(3xy² +2ycosx+)dy=0 |

A: In this question, we have a differential equation of the form Mdx+Ndy=0 Here we have to check the…

Q: (х + у+4)dx+ (x + у—3)dy %3 0

A: The differential equation M(x,y)dx+N(x,y)dy=0 is said to be exact if there exists a function f(x,y)…

Q: If y = (1-x)-3 V1+2x, find dy/dx

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Q: d²y Find particular solution for + 4 + 4y = 3xe dx dx

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Q: 2 4 Evaluate Sx dz dy dx 3

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

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Q: If y = (x+-) (2x – 3), then dy will be dx a (2x+) + (x = 3)(1 +) G++)(e - x2) + (; ++) = A. (2x +=)…

A: Given that                          y=x+1x2x-3

Q: 16- y? V16 - x2 x dx dy 2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: y = (ax-1) (6x.+5]%3 find dy dx 10

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Q: +y Evaluate dz dy dx 20 3 0 -3 0 00 -10 -4 0 10 -2 0

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Q: If f(x)=3x^2 + 2y^2 =16 what is dy/dx?

A: Please see the answer below.

Q: If y = 3x+2/x-2, evaluate dx/dy when x = 1

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Q: Find the complete solution of the following. dy =  ( 2x3 + 4x ) dx         ;         x = 1 when y =…

A: From the given differential equation: dy=2x3+4xdx Now integrate on the both sides. ∫dy=∫2x3+4xdx So,…

Q: 2 1. Z =- 1+x2 ; d²z/dx?

A: z=21+x2

Q: 5. S , dz dy dx 2 c3

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Q: B dy x/1-y2 dx 1+x2 II

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Q: 1 Given y = 3x5 + -, dy is equal to 2x3 dx

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Q: 12-y² y !! dz dx dy 2. 0 0

A: triple intregal

Q: Find 2," dy d²y dx ' dx? d3y and from: dx3 3. x = 1 – t? and y = 2t3 – t2 + 1

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Q: d²y dy + 3x+y = 4sin (In(x)) dx²

A: Given Euler differential equation is: x2y''+3xy'+y=4sin(ln(x)) Let us take x=ez Replace:…

Q: dx -x = ev/2 x3 dy 2)

A: By using linear differetial equation method

Q: + 2e* – 4V¤)dx , where f(0) = 7 -

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Q: d²y 10 9y = e3x + sin 3x dx2

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

A: SOLUTION-

Q: 3. f Arctany dy 4. fx(2x - 1)'dx

A: See this solution in below

Q: G3-y²sinx+303")dx+ (3xy² + 2ycosx + )dy = 0

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Q: 3 c2x S *x² dy dx 4.

A: Integral

Q: Obtain the general solution to the equation. dy 4. x+ 2y = x-3 dx

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Q: d²y dy 3- 4y = 3e¬* dx x- - dx2 -

A: Given differential equation is

Q: 19. Find dy/dx. y = x²

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Q: 2x 2X Lë dy + 2lyê -x) dx =o

A: NOTE: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 3- dy + 3x^²y = x³6 s dx Y- XLnx dy dy +y = ₂l₁x dx 2Lnx ets

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Q: Find the solution of: dy 2y 3x when x = 1, y = -1 dx 2у + ||

A: A differential equation of first order is said to be homogeneous if it is of the form dydx=Fyx. It…

Q: What is the general solution of d^2y/dx^2 -4dy/dx -12y =3e^5x and dy/dx -2y = 4-x?

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Q: (3x -y - 4) dy t (x+y-4) dx = 0, 2. 14

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Q: 3 Evaluate: 2₁ (4x²yz - 2 ) dz dy dx 4

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

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Q: -3 -2 ²₁ ² [z³(x + y)³] dz dy dx

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Q: d²y dy -2 +4y dx 2e 2x dx2 x3 an is given hy:

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Q: Find y subject to the conditions dy/dx = 2x – 3 and y(0) = 3.

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