=- 2z = 2, -2v+z3D +z=

Q: y" -4y' +4y = te2t

A: Consider the following different differential equation: The solution is divided into two sets,…

Q: y" - 4y' = 0

A: Given: Ordinary equation is  y''-4y'=0

Q: 1. y=-5x + 1; (2, -1)

A:

Q: If 2x + y = 23 and 4x - y = 19 , Find the values of 5y -2x and y/x - 2

A:

Q: 5y? - 4y-8x- 2x? = 4 %3D

A: Differentiate wrt x

Q: x3 3. y =- (х-5)(x+1)

A:

Q: y" + 5y' - 4y = 0

A: SOLUTION-

Q: y" - 4y' + 5y = 0

A:

Q: (c) 2y+1 - 5yk+1Yk + 2y% = 2,

A:

Q: y = x² ; y = 8 – x²; 4x – y + 12 = 0

A: Consider the given function as y=x2, y=8-x2and 4x-y+12=0

Q: Q.1 (2x - 3y)*

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find XY when X(-7, 10) and Y(3, 4).

A: We use the distance formula between the given points X and Y.

Q: h(x)--6x3 + 8x? + 4x+ 1; 지: 4

A:

Q: (b) -+3r- 6|+ 2, where r > 2

A:

Q: Find Cdr 4-r2)2

A:

Q: y' = (x2 – 4)(3y + 2), y > 0

A: Separation of variables method:- Differential equations with separable variables are a sort of…

Q: find x and y if (2x+1,y)=(5x+4, -7)

A: Given: 2x+1,y=5x+4,-7

Q: -3(w + 4) = 4w - 5 %3D

A: To solve the given equation

Q: y" -2y'+5y=0

A: Given differential equation, y''-2y'+5y=0

Q: Simplify : (3x2y3 - xy + 4y2) - (-2x2y3 - 3xy + 5y2)

A: We have to simplify 3x2y3-xy+4y2--2x2y3-3xy+5y2. Simplifying the given expression.…

Q: Find x and y. if (x y) (² _-3) = 4 -1 = (2-4).

A:

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y>-x2-22x-y ≥-3

Q: x+2y=-7 -Зх -5у%3D23

A: Given Data: Equation 1: x+2y=-7 Equation 2: -3x-5y=23   Using the substitution method: Obtain the…

Q: 3y-6(y+z)+y

A: Distribute -6.

Q: Find Ə2z ?хду of z = x3 + 5x² y + 6

A: The objective of the question is evaluate the partial derivative .

Q: Find if fa) - 3+ 3. %3D O a) J9 O b) 1 -3

A: The function is                      fx=3x3+3 then we have to evaluate f'3.

Q: Find y'. O A. 2x+ O B. 2x- ОС. 2х+ -| -| |

A: we have y=x+1xx-1x

Q: (3x² - 2y²) y' = 2xy

A:

Q: - y = 3 csc 4x

A:

Q: d.r. , (- 1) 1,

A:

Q: y =- 3x, Зх, х-2

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: +ay'- - 3X = 0

A:

Q: If = x - 4x +1 and y(3) = 8, find y. 2.

A:

Q: (0 ,5) (4,-3)

A:

Q: y" − y' − 2y = 3e2x

A:

Q: Add (4x² + xy² – 7y³), (-7x² + 3x²y² + 9y³), and (5x² + 12xy? – 8x?y? - 4y³)

A: Here we have to add the givne expressions,  4x2+xy2-7y3, -7x2+3x2y2+9y3, and 5x2+12xy2-8x2y2-4y3

Q: Xz + 5x, = -4 5. X +4x, + 3x, =-2 2x, + 7x, + x, = -1

A: since you have asked multiple questions in single request so we will be answering only first…

Q: Find the value of x3 + y3 + z3 - 3xyz if  x2 + y2 + z2 = 83 x + y + z = 15

A:

Q: 2r dr (1 - r)"

A:

Q: y''=2x(y')2 , y(0)=4, y'(0)=−1

A:

Q: Find x+y, if: 5x+8y=67 and 2x-y=31

A: Given

Q: a. x²y' +3xy ==, y(1) = -1

A: Since you have posted multiple questions, but according to guidelines we will solve first question…

Q: а) (Зу?)(4y5) (xy²z*)* b) (x²y²z}3 5

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please…

Q: Char(2Z/6z) is :

A: Characteristic of a ring R is n if for any x belongs to R n*x=0

Q: -3-X, -3y, -3z]

A: We have to find div(V) from the given

Q: - y = 2cot² x+1

A:

Q: + 2t y' - 6y = 0

A:

Q: 3. (2x + j3y)? - 6 - j12 = 0

A: The given equation is  (2x + j3y)2 = 6 + j12. The main objective is to solve the given equation. The…

Q: 1. y""-2y" - 15y' = 0

A:

Q: im -4y+子 2y2-3

A:

Q: Find x and y. (4y + 7)° (3x - 5)% (6y + 3)° (2x+ 10)°

A: CYCLIC QUADRILATERAL

Q: y" + 2y' - y = 0

A: Definition used -         The solution of the linear differential equation -         The…

Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)