Find y'* 2 2 2 + y*

Q: 8- (y – y) dy

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Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

Q: dY 6. dt 2 -1 Y 4

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Q: Find high order DE 6. (D4-5D² - 36)y = 0

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Q: from y = ae + be %3D 2.

A: y=ae4x+be-4x ....(1) Differentiate both side w.r.t x dydx=4ae4x-be-4x        ....(2) From (1) and…

Q: fin (z° + 15z + 44)dz

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Q: ☺ cosh"z= Loy {2+/2

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Q: Evaluste for 2: 0SIS1,0Sy s3. dr dy .

A: The sum rule of exponent states that ap+q=ap·aq. Use the sum rule of exponent to simplify the…

Q: x+ y+ 2z=9 2x +4y - 3z = 1 3x +6y-5z 0 [1 1 29 2 4-3 1 3 6 -5 0 to the cecond to obtain

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Q: 9) (3x-29 +2) ex+(39-2*-2) dyzo

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Q: on of y" – 2y' + 2y =

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Q: Expand completely. (3z 1) ar + ba + cr+ da² + ex + ƒ %3D d = and f=

A: Given 3x-15=ax5+bx4+cx3+dx2+ex+f To do  Find the value of a, b, c ,d ,e and f in the expansion

Q: Yuz - xUy = 0, %3D

A: Find out for each of the given initial conditions whether the problem is solvable or not. Then find…

Q: 2) x²-9 = y -7 4 -3 -24 -1 -9-8-7 -6 2 3456 8 9 -1 -2 -3 у-int. -4 -5 x-int./s -6- -7 -1 -9 vertex

A: The given equation of the curve is x2 - 9 = y

Q: (2-x²) y" + 2xy' - 2y = 0 olution to

A: Given differential equation is 2−x2y''+2xy'−2y=0.....1. a We have to verify that y=x is a solution…

Q: Max Z = 4X1+10X2 %3D s.t. 5X1+4X2 < 200 X1+2X2 s 50 X1+X2 s 20 X1, X2 0

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Q: 4y² – 25 -dy

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Q: Evaluate: ₁²-du So -3 (x² y²)²7 x+y du dt

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Q: (2) Find dt2 if y = x2 + 3x -7 and x 2t + 1 | 2

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

Q: x^2=Axy+By

A: Simple value put

Q: Find yll of x³+y²=3 by implicit ditferetlal C1o pants

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Q: aluate 2zy when Z =- and y = 3. %3D

A: From the given data

Q: What is the value of x in (2x - jy) + (y - jx) = 1 - j5?

A: We have to find the value of x where 2x-jy+y-jx=1-j5

Q: tion: y" – 3y' = e3 – 18x. - -

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Q: Find y'. y = 7x – In(x)

A: Given Y = 7x – n(x) y‘(x) = dy/dx = d/dx(7x – n(x))

Q: 2₁ "+21y+8x=y" + 5y' + ex

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Q: suonenba 5x mons: (1) +- = 3x + 3 (ii) x + 7x + 12 = 0 In (x +4)- In (x*) = 4 = 15 (iii) %3D (iv)…

A: Simplification

Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

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Q: Find dy/dr. y = esin 2x

A: We will use chain rule of differentiation to find the derivative.

Q: 6 Find (x + y) dydx.

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Q: Find of z = 2x° 5xy" + x¯ y dy2 -10ху + 3x? у? = -10y + 6xy²

A: To find ∂2z∂y2 of z = 2x3-5xy2+x2y3

Q: 32. In y = 2y² - x; (2, 1)

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Q: Solid inside x2 + y2 + z2 = 16 and outside z = √x2 + y2

A: Given:

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: (1 - V2) dt 44. 46. (2z – 3) dz - 3

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Q: 2. dy 5y=Dy

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Q: 6) qyo -x² +2x + S%y +62=0 sty

A: 6)

Q: Find y' for x°y* + 2x + 2y = 128 at the point (2, – 2). At (2, – 2), y' = Preview -

A: The given equation is: x3y4+2x+2y=128...(1) To find y' at the point (2,-2).

Q: />(4y++ +9) * dy 12y2-

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Q: Find f(-5e3* + VE)dt

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Q: 28. y' ry + 1; (ry+ 1)dr- dy 0 29. dr- dy 0 %3D

A: Differential equations

Q: Differentiate x²y3 - y2-6x=0 with respect tox. A 3x²y2-2y −6+2ху 3 2х3у2-2y - 6 6-2xy3 3ху2+у В С D…

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Q: d^2x/dt^2+4dx/dt+4x=7    ;[x(0)=x'(0)=0]

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Q: y” – 2y’ = ex (Non Homogenous DE)

A: Given DE is y” – 2y’ = ex.....(1) Let y=emx be trial solution of reduced equation of (1). Then…

Q: find the first and second derivatives w = 3z7 - 7z3 + 21z2

A: Given the function, w = 3z7- 7z3 + 21z2 Differentiating with respect to "z" dwdz =…

Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

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Q: а a²-x² ху(х + у)dydx 0. x,

A: Integration of function expression with respect to variable x or y gives the area under function…

Q: у" — 4y' + у %3D ex + 15

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