Parallel Lines 6. (x – 2y +3) dx + (3x – 6y + 1) = 0 7. (2x +y + 1)dx + (4x +2y +7) dy = 0

Q: Equations). =x (1 – y²) 2 + 5y + 2x + 10 2ху — 10у — х +5 -dx + -dy 2х + 3 у — 6

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Q: 4. Homogeneous: Solve the equations (x – y) dx + (3x + y) dy = 0; when x = 3, y = -2

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Q: (х- 4y - 3) dx -(х-бу— 5) dy %3D о ans. (x - 2y - 1)? %3D с (х-Зу- 2)

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A: We will change the order of integration.

Q: Solue! A Sx+ x-y) dx + x dy =0

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Q: 7 I √49-x² 49-x²-z² Ľ -V 49-x² 1 √49−x²−z² (x² + y² + z²)¹/2 dy dz dx =

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Q: 3. General solution of x dy = (2xe* – y + 6x²) dx

A: The given differential equation,     x dy=2xex-y+6x2dx

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Q: Coefficient Linear in Two Variables 2. (x – 3y– 7)dx – (2x –4y-8)dy =0

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Q: 2. (2x +y -3) dy = (x + 2y -3) dx.

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Q: dx² +2dy - 5y = 2x²-3x+1 dx

A: Given differential equation is d2ydx2+2dydx-5y=2x2-3x+1 So, the auxiliary equation is…

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Q: (3メーy-4) dy (x+y-4)dx when x« 3, y=7

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a…

Q: Separating the variables, xydx – (x + 2)dy = 0 →dx -dy = ( (1-) dx x+2 y - = 0 2 x+2, y

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Q: Description 1. (2æ3 – xy? – 2y + 3) dæ – (x²y + 2x) dy = 0 - - -

A: Here I am attaching image so that you understand each and every step.

Q: 2- Linear edluan 1 - y' +スリ= 2é 2- x y'ony-ax? %3D 3. (x-2) y`+y. x 4 4-(49-3x)dX+5X dy = - 5_ dy dx…

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Q: 2. (2x + 4y -3) dy + (x + 2y -1) dx = 0; y(2) = 5. Determine y(3)

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Q: 2 4) d?y |1+ () dx2 dx, Find the: Туре: Order: Linearity: Why?: Unknown Function: Independent…

A: Topic:- differential equations

Q: dx -- 2 = 3y - 2 when x = 1, y = 1 dy

A: the given differential equation is: ydxdy-2=3y2-2 it is given that when x=1,y=1 we have to find…

Q: (2x - xy² - 2y + 3) dx - (x?y + 2x) dy

A: Recall: In an equation of the form Mdx+Ndy=0 , first check the condition of exactness…

Q: solue 2/2y² + 5xy - 2y +4) dx + x (2x +2y-1) dy = 0

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Q: 2) (-4у + e-3*)dx %3D 4 dy

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Q: lax +3y-5) dx + (3x-y -

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Q: 3. dy X- dx %3D у+x3 + 3х2 — 2х

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Q: 2. (2x+4y-3) dy + (x+2y-1) dx = 0; y(2) = 5. Determine y(3).

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Q: 5/xy dy -2, х, у» 0 dx y =

A: See the details solution in below

Q: Using separation Variable. 1.) In x dx/dy = 2 / xy^3

A: Given differential equation lnxdxdy=2xy3

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Q: ular solution of y' 3x2 ;y(1) = 2. (4 3y2-4 (3x2,3 5x4)dx J (y4 3x3,2)dy

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Q: (2х + Зу — 5)dx+ (3х — у — 2)dy %3D0

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Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20)…

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Q: xydy - y^2dx = x * [(x^2 - y^2)^0.5]dx

A: First order non linear differential equation. Given differential equation is homogeneous, for…

Q: dy 2. dx = x³(y – x)² +, Y1 = x,x > 0 y У1 — х, х > 0 dy 3. + 2y + y² = 0,yı = -2 - dx

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Transforming - Ⓒ S 1 = ²2²1dz 1+z² ℗ B / 1 + 2/2 d -dz 1-z² Ⓒ *2-2z² 1+z² (A) dx secx + C-²₁- -dz…

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Q: 14. y"-2y'+ y= cost-sint, y(0) = 1, y'(0) = 3 %3D

A: 1. Laplace transform is an integral transform that converts a function of real variable t to a…

Q: Stue; dy = (1-x)y²+ (2x-Dy-x given Sdutfon y-1 %3D

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

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Q: Value pro anıp dy - 1 3 -8x-2 , y(8) =- 3x* dx

A: Given that: dydx=13x43-8x-2,   y(8)=32

Q: (бху — у')dx + (4у + 3x* - Зху")dy %3D 0

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Q: 꾸dz + Pdy =0, y(-1) %3D2. (3-y) dx + (y 2x) ry²

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

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Q: Coefficient Linear in Two Variables 2. (x– 3y– 7)dx – (2x-4y-8)dy =0

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Q: 3z (sec-(-3z?))³ 2|–3z*|-/9zª–1 If y= sec-1 (-3x²), then dy dz

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Q: (2x - xy - 2y+ 3)dx – (x²y + 2.x)dy = 0 when x= 2, y =-3 %3D |

A: Ordinary Differential Equation: When an equation contains derivatives with respect to a single…

Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

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Q: (х+2у -1) dx - (2x+4 у-3) dy%3D0

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Q: 2x - y + 5) dx - (2x + y) dy = 0 where x= 3, y=7

A: Let's find.

Q: (6x²-y+3) dx +(3y²-x-2) dy

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Q: (axy - 4y-1) dx t x (x-2) dy = 0

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

Q: Second order: non- homogeneous Equations with Constant Coefficients d²y dy 2. -2 +2 y = 3e* cos 2x…

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