solve for the homogeneous coefficient   (x²+2yx-4y²)dx-(x²-8xy-4y²)dy=0

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3…

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Q: solve  (y2+2x2y)dx+(2x3-xy)dy=0

A: Consider the given differential equation:

Q: 1-7ӕ + 3 | dx 4.

A: To evaluate the integral: ∫1-7x+x3xdx. Solution: Evaluating the integral.…

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: Solve the given DE: 2ydx=3xdy, when x-2, y=1. O y=(x/2)^(2/3) O y=(x/2)^(1/3) O y=(x/3)^(2/3) O…

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Q: Solve for DE (x + 2y - 3)dx - (2x + 4y - 9) dy = 0

A: In this question,  we solve given DE by substitution methode i. e.  We put some terms in the form of…

Q: Solve: (xy – 1) dx + (x² - xy) dy = 0 %D |

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

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Q: Solve 2- (2xy - 2y)dx + (3x'y-4x)dy 0

A: We have to solve given problem:

Q: (x+1) dx V 8+2x-X²

A: ∫x+18+2x-x2dx

Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

Q: x2+1 - dx x4-x²+1

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Q: Z=2x3 -4xy2 +3y3 find dZ

A: the given function is: Z=2x3-4xy2+3y3 we have to find dZ.

Q: S,(2x-y)dxdydz

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

Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

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

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Q: 2. Consider the following system of simultaneous linear equations in five variables: a + 3b-2c+d- 6e…

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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: Use the integrating factor method to solve 2xy + y = 2x5/2

A: Please find attachment

Q: x²r x*r + 2xys + y²t = 0

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Q: Solve (2x – 1)3y" + (2x – 1)y' - 2y = 8x? – 2x + 3 %3D |

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Q: dx 4. / TV²+ 4x – 4 4х — 4

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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: (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 (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: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

A: We know,∫dxx=ln(x)   Given differential equation, ydx+(2x+3y)dy=0 ⇒dydx=-y2x+3y....(i)

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

A: Let's find.

Q: Evaluate х2 + 2х — 1 х3 — х

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Q: 1/2x+1/3y=6 X-y=2

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Q: on(1-y)csc²( y) dy

A: This question can be solved using the concept of integration by substitution.

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

A: