3 x - 4 Vx - 2 y = y = -

Q: b) sy- 7y-12 dy y(y+2)(y-3) 4y² – 7y-12 dy

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Q: y4 + y² – 1 dy y3 + y

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Q: 3) 2y"+y'-y = x + 1

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Q: 4X +2Y=3   Y= -2X -1             X=  ___________,  Y= _______________

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Q: (x²dx- xyc = 0, x = 1, y

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Q: 11) x+ y<2 4x + y< -1

A: Given that

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = (x2 - 1)(y + 2)

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Q: (1) x(xt!) y"+ (3x-1)y'ty =O

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Q: 2). x2y" - xy + y = x³ V

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Q: 1) y = 2) y = V3x 3 3) x = /2y2

A: Since you have posted multiple subpart question in this question so I have solved first three…

Q: -4 3t° 3t+ i dt

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Q: fc y 3 ds, C :x=t2, y=2t, 0&lt;t&lt;1

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Q: xy" – 2(x + 1)y' + (x + 2)y = 0.

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Q: 1. y' = x y+x²y

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Q: .2 x + 1 y = x3. %D - 1

A: The differentiation of df(x)/dx where f(x)= a/b is given by chain rule    d'(x) = (b.a' - a.b') /…

Q: x +y+z= 2 2x - y + z = 0

A: Given,

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Q: y = 4x + 2 %3D y = x - 1

A: Given: y=4x+2y=x-1

Q: dr (x2 + 2y²). = xy, y(-1) =1

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Q: find ƒx , ƒy  . 1. ƒ(x, y) = 2x2 - 3y - 4 2. ƒ(x, y) = x2 - xy + y2 3. ƒ(x, y) = (x2 - 1)(y + 2)

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Q: 2-x'y'y'+ xy' =1

A: Let's find.

Q: (x^(2)-4y)/(2) x=4 y=-3

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Q: 3x' - y = 2t; x' + y' - y = 0; x(0) = y(0) = 0

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Q: f(x.y) = 4x - 8x + 5y² + 6; R= {(x.y)(x= 1)² +y² s1}

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Q: f(x,y) = x +y +8x- 2y

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Q: find ƒx , ƒy  . 1. ƒ(x, y) = (2x - 3y)^3 2. ƒ(x, y) = (x3 + ( y/2))^(2/3) 3. ƒ(x, y) = x/ (x2 + y2 )

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2x y" – 4y' + 4y = 8 – 2e² y(0) = 0, y (0) = 1. -

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Q: O . للدالة (1 + Y = (2X-2)x2 فان قيمة المشتقة لها تكون J. Y" = 6X4 4X + 2 ب. 1+ Y- = 6X + 4x2

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Q: xy' 0 +(x-6)y-3y=

A: Consider the given differential equation, xy''+x-6y'-3y=0 it is known to us that by the power series…

Q: (x+1) y"+xy'-y=x^2+ 2x + 2

A: Given :    x+1y''+xy'-y=x2+2x+2

Q: Solve the system.

A: Given: 2x+y=2x+y-z=43x+2y+z=0 To Solve: Given system of linear equations.

Q: O A. y= x+1 y= 2x+2 B. y= 2x+1 y= x+2 O c. y= -x+1 y= -2x+2

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Q: y = 2x + 3 ir x +y = - 3 3y = 9x- 6 2y - 6x = 4

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Q: = 3(2x + y)² + 1 2x + Y = y=1 = vY

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Q: I, x = 4 x- 2y = 6 %3D y

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

Q: (x+1)y' = 2y, y(0) = 1

A: Given : x+1y' = 2y

Q: 2 xy VI+x y)-ー1

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Q: Use matrices to solve the system.

A: Given system of equations is: 2x+3y=5x-3y=4x+y=-2 We have to sole this system of equations.

Q: 2. x21 y 6 y2x-2 Ax, y) = x– y

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Q: 1. y" + xy' = 0 2. y" + xy' + y = 0

A: Since you have asked multiple question, we will solve the first two question for you. If youw want…

Q: 4) xy' + y = xyy'

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: y° – 5y3 + 2y f (y) ,3

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Q: y"+3y'+2y=t; y(0)=0, y'(0)=2

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Q: 10 y = x 11 y = Vx +1 12 y = 4 + 3x

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Q: 1- y" – 3y' + 2y = 4e2t y(0) = -3 y'(0) = 3 %3D

A: This is a problem related to the differential equation. By Laplace transform method first of all we…

Q: Solve the system.

A: Consider the given system x+3y=0y-5z=32x+z=-1 First, write the system of equation in matrix form…