3. (2x2 + 2)dy + xydx = 0

Q: 4 ( Calculate -2x dy

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Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

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Q: dy 5. -2ty + 4e-t² dt y(0) = 3

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Q: 3. II Azy'dz dy = 2y°(3² – 1)dy | 2y (y? – 1)dy 1

A: Given that a double integration .We use general  property of integration to solve this integration.…

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Q: dy ху+3x-у-3 7. Ans: y-x+In y+3, %3D = C dx ху-2х+4у-8

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Q: Obtain the particular solution when x = 1 and y = 1 3 y°) dx 3 - x(x + y) dy = 0

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Q: 6x + y²) dx + y(2x – 3y) dy = 0 -

A: Exact differencal equation and second eliminate contact

Q: (b) y = u4 and u = 9x2 – x + 7 dy du 4u³ ,3 du 18x – 1 dx dy dx &x(9x² – x + 7)³ × II

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Q: 8. Jydx + (1+ x)dy = 0,,when x = 1, y = 4

A: Differentiable equation can be solved separating the variables on each side and then integrating…

Q: 1 [ (2 -y - VE) dy 2 – y – 0. 1 | (2-y (2 – y – V9) dy 0, 2 | (x² – (2 – æ)) dæ - 2 [ (2² – (2 – a))…

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Q: Find the solution of (x² – xy – y²) dx + xydy = 0 -- -

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Q: 2. (8x³cscx++y+ 2y²sin²x)dx+ (x+2xy – ysin2x) dy=0

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Q: Find the general solution of hp dy + 12- dx² dx 8y = 21e2x | dr3

A: To find the general solution of the given differential equation: d3ydx3−6d2ydx2+12dydx−8y=21e2x

Q: 2x - y)dx + (4x + y − 6) dy 6)dy = 0

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Q: 2r-r2 -3 zVx2 + y2 dz dy dx. 0. 0.

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Q: xz2² - dx dy dz 0. 10 y(x² + 2)(z³ + 3)

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Q: Solve the problem by using Exact DE 3 1. (2 x³ x y² - 2y + 3) dx − (x² y + 2 x) dy = 0

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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: 5 To-4x D 5-2x NILS (6z²) dz dy dx

A: solution:-∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x6z3305-2x-y2dydx=∫0…

Q: 2. 2x² dx – 3,/y secx dy = 0

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Q: dx xy+3x-y-3 dy xy-2x+4y-8

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Q: 3(4x²y + y2 + 6x) dx + 2x(2x² + 3y) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact. if ∂M∂y=∂N∂x. Then the solution will be:…

Q: Find the general solution by means of separation of variables if: dy = xy -x dx

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

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Q: Find the general solution of 6y2 dx - x (2x3 + y) dy = 0

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Q: 12-y² y !! dz dx dy 2. 0 0

A: triple intregal

Q: d²y dy + 3x+y = 4sin (In(x)) dx²

A: Given Euler differential equation is: x2y''+3xy'+y=4sin(ln(x)) Let us take x=ez Replace:…

Q: Find the particular solution of  y(y^2 + x^2)dx + x(3x^2 − 5y^2)dy = 0 ; when x = 2 , y = 1

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

A: Solution

Q: Z eXZ 4. xyz dydx dz

A: Solution:

Q: 22 32 S[ (4-y ) dydx 1. ans:- 3 0 0

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Q: If feF - dr = Sc(4x + 4y²) dx + (x²y) dy, what is.

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Q: dy dz 2. x+1 y+1 z+1

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Q: (x-2y++)dx + ( 2xーy+2) dy =o 2. ー1

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Q: + 4 oly +6y =0 dt dy +2 -6x=6

A: Introduction:Simultaneous equations are those in which the derivatives of two or more dependent…

Q: 2. a*y(4) „4„(4) + 6x°y" + 9x²y" + 3xy' + y = 0. 3. (x – 1)2 d²y dx2 - 2(x – 1) dy + y = x + 4. dx -…

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Q: 2x2 x² - 4x +4 ey JTeży + 4)°/½ dy

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Q: dy 1- S V9+y2

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Q: 2. (9y-2 +6y-4-y-5+1) dy 3. √ (12x²-x²+x²) dx

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Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: 1 y2e- dy 7 صواب ihi

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Q: Find the solution of: dy 2y 3x when x = 1, y = -1 dx 2у + ||

A: A differential equation of first order is said to be homogeneous if it is of the form dydx=Fyx. It…

Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1

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Q: 5) SOLVE dy _ yz %3D x2

A: A differential equation is an equation in x,y and derivatives of y. An ordinary differential…

Q: -3 -2 ²₁ ² [z³(x + y)³] dz dy dx

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Q: If y = (6x + 7)0.5(2.6x2 - 1.9), what is dy/dx?

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Q: 2. fizə] ycos (xy)] dx + [2xe2y - xcos (xy) + 2y] dy = 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…