3. (2x + 5y + 1) dx - (5x + 2y – 1) dy = 0.

Q: (2x + 3y - 1) dx - 4 ( x + 1) dy = 0

A: Explained below

Q: у+(2x-Зуе^у)dx/dy-0 x-3y

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Q: Solve dy 2 dx - dy + 2y = 7 cos x + 5et dx -3-

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Q: 5. 6. Sexcos2x dx |— S- dx 3 (x + 2)² − (x+2) ² -

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Q: Compute dy / dx and d2y / dx2              x 2 - 4y 2 = 8

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A: Solution:x-2y-1dy=2x-4y-5dxdydx=2x-4y-5x-2y-1dydx=2x-2y-1-52+1x-2y-1dydx=2x-2y-1-32x-2y-1let,x-2y-1=…

Q: 3 For y = 3x + x + 3 dy = -1 = dx

A: Given that:y=3x3+x+3To find: dydxx=-1

Q: 2. - dy x³y*-2y dx

A: We have to solve given problem:

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

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Q: 2ydx-(1-x^2)dy=(x^2-1)dx when x=0 and y=-1

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

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

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Q: Evaluate the integrals

A: Given I=∫01∫03-3x∫03-3x-y1dzdydx

Q: Can you help me step by step?

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Q: 4. (x+ 2y-1)dx-(2x+y-5) dy =o

A: According to question,Given differential equation,x+2y-1dx-2x+y-5dy = 0

Q: Evaluate the integrals

A: The given integration is: ∫03∫09-x2∫09-x2 dz dy dx Here first to solve the inside integration with…

Q: (2.x+ 5y)dx + (4.x – 5y)dy =

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

A: Differentiation of implicit function

Q: (2x – 3y)dx – (-6y + 4x + 1 )dy = 0

A: Given that 2x-3ydx+4x-6y+1dy=0

Q: 2.x 2- L* (6- 22 - 3y) de dy 6 — 2 — Зу) dx dy

A: The integral is ∫03∫02-2x36-2x-3ydx dy. To evaluate the integral, first evaluate the integral with…

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

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Q: 1. (2x – 3y) dx + (2y – 3x) dy = 0 - -

A: According to our guidelines we can answer only three subparts of a question, or first question and…

Q: 1. (ex-y)(1-e²y)¹/² dx = dy

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

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

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Q: Find d^2y/dx^2 at (-1,-2) if 3x^3-2x^2+x = y^3+2y^2 +3y.

A: Given function is: 3x3-2x2+x=y3+2y2+3y Let us consider: y'=dydx ; y''=d2ydx2 Differentiating both…

Q: 3) (3x- 2y+1)dx+(3x– 2y+3)dy = 0

A: We have to find

Q: 1- dX dy (bux> dy 2- dx : 2X Secy 3. (1-x"): - 2Y dy

A: Answer 1 -  As the cube root of 64 is 4, thus open the parentheses of the RHS of the differential…

Q: Find dy/dx if 5x1/2 + 6y1/2 =15. dy/dx=?

A: We have to find dydx for 5x12+6y12=15.

Q: 2 1. Z =- 1+x2 ; d²z/dx?

A: z=21+x2

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

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

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Q: Find dy/dx at the given point 6x2-5y3=2x-5y at (0,1)

A: First differentiate the equation and then substitute the value of x as 0 and y as 1.

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

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

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Q: find dy/dx: (x+y)3+ (x-y)3=x4+y4 ?

A: The given equation is x+y3+x-y3=x4+y4. Find the derivative dydx using implicit differentiation as…

Q: (2x + 2y + 1)dx + (3x + 3y – 2)dy = 0

A: We will answer one question at a time. Please resubmit the other questions separately specifying…

Q: 3 sin(3x) 2cos (4y) dy dx (-)= 3 4

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Q: (х — 4у — 3)dx — (х — бу —5)dy — 0 -

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Q: 1. (6x-3y+2)dx-(2x-y-1)dy=0

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Q: Find the solution of dy/dx = (-x^2/y^2) + ( 1 / ( 3y^2 (x^3 + y^3)^2 )

A: Given: dydx=-x2y2+13y2x3+y32

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

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Q: 1- [(2x – 5)/3x – 1) dx | 2- S S(x3 – 10 + 3y² dy dx

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

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Q: d²y dy 3- 4y = 3e¬* dx x- - dx2 -

A: Given differential equation is

Q: Obtain the general solution to the equation. 3. dx - (у — 2ху)dy

A: Topic - differential Equation

Q: 3 - 2 (6x + y) dx dy 0 -5

A: To find : double integration

Q: 17. dy dx = y2/3

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 2. メ +ッ 2. dy- X. dx

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Q: 9) (x- y°-Ay-1) dx t 2x (x4 y +2)dy =o

A: As we know that the differential equation Mdx+Ndy=0 is exact, If ∂M∂y=∂N∂x. The solution is:…