2. y(x² + y² – 1)dx + x(x² + y² + 1)dy = 0

Q: (3xy²+2y)dx+(2x²y+x)dy=0

A: Given differential equation is (3xy²+2y)dx+(2x²y+x)dy=0

Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (0, 0) to (0, -9) and (0, -9) to (4, -9)

A: Solution :-

Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (0, 0) to (0, -9) and (0, -9) to (6, -9)

A: Line integration

Q: 2. (2x – y + 1)dx + (4x – 2y + 3)dy = 0

A:

Q: Homogenous (2x²y + y³)dx + (xy?. 2 – 2x³)dy = 0 -

A:

Q: 3.2 (2x - y²) dxdy

A:

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: 2. (2x – 3y +1)dx– (3x+2y-4)dy = 0

A:

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: x2+1 - dx x4-x²+1

A:

Q: y ²x ²dy + 4xydx = 0

A:

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

A:

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

A:

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.

Q: 3/4y +1 dy 2. Evaluate 0,

A: Given: ∫0234y+1dy Substitute, 4y+1=u dudy=4dy=14du =34∫udu ...........(1)

Q: Evaluate [1+(x- 1)2 +4y²]dydx

A: Given: The given integral is ∫03∫021+x-12+4y2dydx. Integrate the integral with respect to y.…

Q: Evaluate (2x - y) dx + (x + 3y) dy. JC C: x-axis from (0, 0) to (0, -3) and (0, -3) to (9, -3)

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Q: 3. y(x+ y²)dx + x(3x² – 5y²)dy = 0 ; x = 2,y = 1 -

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

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Q: Find y". y = x(3x + 2)*

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Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

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

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Q: dy у+x3 + 3x2 - 2х dx %3

A:

Q: 2. (2x + 3y + 1)dx – (4x + 6y – 1)dy = 0 -

A:

Q: (4x³y – 18x2 + y)dx + (x* + 3y2 +x)dy = 0

A: