Solve for the Integrating Factor of the equation y (x + y + 1) dx + x (x +3y +2) dy = 0. A (B eln y 1 - y D y E none of the choices

Q: 7. 2 2 -3 3 -1 | | -5 -2 +5 2 In y 0 0 ise x+y+z=? 4 1 5e? 5 8 a) O 0 b) Hiçbiri c) d) 3 e) Boş…

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Q: 2x-1 dx

A: Given,

Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: dy Find a solution to = xy + 6x + 4y + 24. If necessary, use k to denote an dx arbitrary constant.…

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Q: noose a non-exact equation and solve. (xy - 2y?)dx - (x2 - 3xy)dy=D0 1. 2)

A: Q(1)  We have to solve given non exact differential equation:

Q: Solve y (1 + 2 x y) dx + x (1 – 2 x y)dy = 0 using the substitution Z = 2 x y

A: Given that y (1 + 2 x y) dx + x (1 – 2 x y)dy = 0  Therefore, we have  y (1 + 2 x y) dx + x (1 – 2 x…

Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: Find a solution to dy = xy + 4x + 3y + 12. If necessary, use k to denote an arbitrary constant. dx…

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

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Q: Perform the given functions through method of integrating factors. y(y-2x) dx + (y² +x²+1) dy = 0

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Q: S,(2x-y)dxdydz

A: Consider the integral: ∫12∫0z2∫0y-z2x-ydxdydz

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

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Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

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Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Determine for which values of m the function (x)=x" is a solution to the given equation. (a) 3,2d…

A: We have to find the value of m.

Q: Solve y(y ³-x) dx + x(y² + x) dy=0 A B 2xy²-x²=cy² D 3 3 2xy ³ - x²=cy ³ © 2xy³-x²=cy² (C) 2xy³ – x³…

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Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: Solve: (3x? – 2xy+ 3y² )dx = 4xydy O (y – 3x) (y + x) = Ca³ O (y + 3x)³(y – x) = Ca³ O (y – 3x)(y +…

A: Proceed as shown below

Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

Q: O Solve (ex+y)dx+(2+x+ye¹)dy=0

A: The given problem is to solve the given ordinary differential equation. We have to the exactness of…

Q: solve (x? + y) dx + (y³ + x) dy = 0. A yª + x + B + x + y + (c) = C ,3 3/7 3/4

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Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

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Q: (2x2y - 2y2+ 2xy)dx + (x² - 2y)dy = 0 %3D

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