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

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A: I have given an answer in step 2.

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Q: (a1x + bịy + c1)dx + (a2x + b2y + c2)dy = 0

A: We will find out the required general solution.

Q: d/dx [(2x+1)3(3x2-1)4]

A:

Q: Solve (5x + 9y) dx + (9x+ 5y) dy

A:

Q: f. S r4 dx J2 xV2-2x2 2.

A:

Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: b) (2x - 3y +4) dx + 3 (x-1) dy = (x-1) dy %3D

A: Given:- (2x-3y+4) dx+3(x-1) dy=0 To find:- General solution of given differential equation

Q: 2(2x² + y²) dx - xy dy = 0

A:

Q: Dª + 4D³ – 3D² − 2D + 1)y = 0

A:

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: sec(-3x + 5) dx

A: Solve the integral

Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: (5Vx² – 4 4 3) dx 2,

A: Given data:     The given integral is: .   The given integral can be written as, Here, I1 is the…

Q: elimination of first degree variable: 2x/3 - y/2 = 1

A: The given equation is: 2x3-y2=1

Q: (x3-4) 2. S dx x3+2x2+2x

A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

Q: (3z² + 1) dx (2 + 2x + 1)²

A:

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

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Q: T. (3x² - 4x¹ + 2)dx -1 -3

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Q: (х+2у -1) dx - (2x+4 у-3) dy%3D0

A:

Q: dy_2y-x+5 dx 2x- y-4

A: Find the solution of the ordinary differential equationdydx=2y-x+52x-y-4

Q: Solve (xy+x)dx - (x2y2+x2+y2+1)dy=0 using separation of variable

A: Let's find.

Q: S dx 3 2 2X -4X-1) |

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Q: dx Vx4 – 2x² + 1 3,

A:

Q: (3x-1) dx 2x²+2x+3

A: