10.Obtain the general solution of y(8x – 9y)dx + 2x(x – 3y)dy = 0

Q: ] Solve (3xª – y)dx + (x – 4x²y³)dy = 0.

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Q: Solve the D.E. 3(3x? + y²) dx - 2xy dy = 0 (A x= c(x² + 9y²) B x= c(x2 + 3y3) © x = c(9x² + y²) D x…

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Q: (4х — 5у + 6)dx + (7x— 2у — 3) dy %3D0

A: Given that 4x-5y+6dx=7x-2y-3dy=0dydx=-4x-5y+67x-2y-3this form is equation reduciable to homogeneous…

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: 4. y(y² - 2x²) dx + x(2y² - x²)dy = 0 [Answer: x²y² (y² - x²) = = C

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Q: Solve (x − y − 1) dy − (x + 3x − 5) dx = 0

A: Rewrite the differential equation as                 dydx=x+3y-5x-y-1

Q: solve (x + y − 1)dx + (y − x − 5)dy = 0.

A: According to question, Given differential equation, (x + y − 1)dx + (y − x − 5)dy = 0.

Q: Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

A: Given that: y=f(x)  =-3x3+2x2-3x+5

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

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Q: 2. Determine C when x-y%3D0 show the solutions. (xy + x)dx = (x²y2 + x² + y2 + 1)dy

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Q: 4.a) Find d dx y = ln (2²/ n (²x + 5) b) Find dy dx y = 3√√x++2x e³x (5x²)

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Q: Determine the general solution of (x-2y)dx + (2x+y)dy = 0

A: See the details solution in below

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

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

A: Let's find.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Given that 7x+3ydx+3x-8y3dy=0

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 − 1) dy − (x + 3y − 5) dx = 0

A: Given: x-y-1dy-x+3y-5dx=0

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

A: Solution

Q: If dy/dx = 4x/y and y(0) = 5, find an equation for y in terms of x. A x²/2=2y² + 25/2 B. y²/2 =…

A: To solve the following problem

Q: 2 ( 2 2 + 5xy -2y+ 4) dx + × ( 2x +2y-) dy =0

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Q: 3. Find all solutions to the equation (D² – 3D + 2)y(x) = 2e3ª.

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Q: (3x²y² + 2y³ - 4y) dx + (2x³y + 6xy² - 4x) dy = 0

A: