III. Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y2+5xy- 2y + 4)dx+x(2x + 2y - 1)dy = 0 2. y(y+2x-2)dx-2(x + y)dy = 0 3. xydx(x²+2y²)dy = 0

Q: 3.) (2xy³ + y4)dx - (2y - y³x)dy=0

A:

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A: Solution :-

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A: According to the question,

Q: Step 4 Finally, determine(-3x + 7) and (x + 7) and simplify the result. dx dx 1. du 1 dv + U dx V dx…

A: formulas we use: ddxf+g=dfdx+dgdxddxkx=k; k is a constant.dkdx=0; k is constant.ddx(x)=1.

Q: Q/find (2xy? -2x² y4 xy2+2x)dx+(3X=y?e4yldyco an int egratinagfactor theequation and find the…

A: Given the first order differential equation           2xy3-2x3y3-4xy2+2x dx+3x2y2+4y dy=0 Find the…

Q: 5. (1+2xVx2 - y² )dx-(2yVx2-y? )dy =0

A:

Q: 4 (x +y +x)dx+ xydy = 0

A:

Q: + y²(x+ 1)² = C

A:

Q: Using the basic formulas and change of variables, integrate the following: 1. S (3x3-1)2 2. Sdx xp*…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: = 11. Solve x²yd²y + x dx² .2 dy dx - y)²³-3y² = 0.

A:

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A:

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7) 21

A:

Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

A:

Q: - 3x³)dy – (2y³ – x²y)dx -

A:

Q: 1. Solve: 2 dy (2y + 3) dx 4x + 5,

A: The answer of the differential equation is, 2/(2y+3) = 1/(4x+5) + c, where c is an arbitrary…

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (2, -7) 323 2

A: Here to find the value of line integral we consider two path c1 :from the point (0, 0) to (0, -7)…

Q: (2xy2 – 4x3y3 + 6y)dx + (2x?y – 3x*y? + 6x)dy = 0

A:

Q: (2y? + 2y + 4x²)dx +(2xy +x)dy = 0; when x =- 1 and y = 0 %3D

A: Let's find.

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A: See the attachment

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A:

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A:

Q: Differentiate these using the product rule. Write your answers in fully factorised form with the…

A: NOTE According to our guidelines we are supposed to answer only one question and three subparts.…

Q: 2(y- 4X²)dx + x dy =o SOLVE THE PROBLEM USING INTEGRATION FUNCTION

A:

Q: Solve the following equations: 1. (D-D2-2D)y = 0 2. 4Dy-13Dy + 6y = 0 3. D'y - D'y – Dy + y = 0 %3D

A: On solving ist three questions we will get

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A: the given equation of the curve is: y3+y2-5y-x2+4=0 we have to find the value of dydx

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A:

Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as:…