9. (х +у) dx - (у -х) dy %3D0; у (1) %3D1

Q: + 1 =2e- dy

A: Given, Can be rewritten as

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Q: 1. у%3D х3 — 2x2 + 3х — 5 y = 3 — 2х2 + 3х — 5 dy — Зx2 — 4х + 3 dx

A: Given: y=x3-2x2+3x-5

Q: (2x-3y)dx+(2y-3x)dy3D0

A: As per our guideline we are allowed to answer only one question. Kimdly repost the other question as…

Q: 8. (3x +y-2)dx (3x +y +4)dy = 0

A: we only solve one problem at a time so please post your question one by one.

Q: Calculate dy. dx2 y = -6x2 + 7x dy dx2

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Q: Sv-4 - y-3) dy

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Q: y' %3Dх (1 — у?) 2 2ху — 10у —х+5g- 0 ху +5у + 2х + 10 2х + 3 -dx + dy = у — 6

A: given differential equations are first order variable separable differential equation. We will first…

Q: 5-(1+x')(dy-dx)= 2.xydx;

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Q: 8-y y dx dy 'y

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Q: 7. (2x + 3y)dx + (3x + 2)dy = 0 When: x = 3, y = 2

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Q: /2x- xy dydx = 0,

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Q: (a) (Ex) ((Ax --> Bd) --> Ky) (b) (Ex) ~ (Dx v Cy) (c) -(x) (Dy --> (Hx v ~Ga))

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Q: 7,9,-4) y dx +x dy +3 dz = (5,4,1)

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Q: = 6 + 3t, y = −8t;  dy dx

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Q: 2²ye+v°-²dx dy dz 1 -1

A: We have to calculate the integral.

Q: x*y' = x* -y*

A: Differentiation of implicit function

Q: dy 2+ ytanx (4x + 5)² .3 dx cosx

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Q: 1. (3x – 2y + 1)dx + (3x – 2y + 3)dy = ( -

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Q: (3) (2x – 3y – 2)dx + (6(2x – 3y) – 2)dy = 0. - - %3D

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Q: Evalute! 2. 2)dy dx

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Q: (3-y)dx + (y-2=) dy = 0, y(-1) = 2. ry2

A: Given: 3-yx2dx+y-2xxy2dy=0, y(-1)=2

Q: 1- 2r (1 + y')dx - y (1 + 2x)dy =

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Q: 2) (-4у + e-3*)dx %3D 4 dy

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Q: 3) (3x- 2y+1)dx+(3x– 2y+3)dy = 0

A: We have to find

Q: 10. x = Vt-2, d²y y =t2-3' dx2

A: The given question is taken from the derivative and we have to find the derivative of the parametric…

Q: 5-(x^2-y^4)dy/dx=xy

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Q: 10-4z .5-2x-y 6z2 dz dy dx

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Q: cV9-x² ¢V9¬x² dz dy dx

A: Explanation of the answer is as follows

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

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Q: dy/dx=4x^6sqrty,y>0

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Q: ху+3x- у -3 dy %3D dx xy-2x + 4y- 8

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Q: dy 2х-у-3 dx х+у-2

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Q: Solve (x+3y- 4) dx + (x+ 4y- 5) dy = 0

A: We have to solve the given differential equation: (x+3y-4) dx + (x+4y-5) dy = 0 Dy/dx = (-x-3y+4) /…

Q: 2 4. S dy 1 y +y° - 3

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Q: ,1 .-2x +5 Evaluate | 3x 10-4x - 2y dy dx 25 3 25 26 7 27 5 28 3

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Q: ,5. For y = 3x° - 9x° + 2x, find dx %3D dx 5

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Q: y = (2x3- 8x )4 Find dy/dx when x = - 2

A: Given function is Differentiating with respect to x by using chain rule o differentiation, we get…

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

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Q: (2x+ 3y) dx + (3x-y+5) dy

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Q: 2. (9y-2 +6y-4-y-5+1) dy 3. √ (12x²-x²+x²) dx

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Q: /25-x2 V25-x2 -y2 1 dz dy dx -/25–x² -V25-x² -y²

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Q: (6x²-y+3) dx +(3y²-x-2) dy

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Q: (2x - y)dx + (4x + y - 6)dy = 0

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Q: Determine dy/dx for the equation 5x3+7xy- 3y5 = 9 .

A: To find the derivative (d y / d x).

Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

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Q: 2. メ +ッ 2. dy- X. dx

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Q: 2 - (2x 3y)dx - (2y + 3x)dy 0

A: 2)-(2x-3y) dx-(2y+3x) dy=0dydx=(2x-3y)-(2y+3x)dydx=3y-2x2y+3xdydx=3yx-22yx+3y=vxdydx=v+xdvdx