4x y" - 4y = 2x

Q: Find dy/dt.

A: Given, y=9-4x3+2x; dxdt=-1,x=-3 To find dydt

Q: 6. Parallel to the line Y = = -}(x – 100) – 99, 3 4 passing through (1, 3)

A: Given query is to find the equation of the line passing through (1,3) and parallel to the line…

Q: dY 6. dt 2 -1 Y 4

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Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: fin (z° + 15z + 44)dz

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Q: 4. Šolve Člairaut equation y = xy' – 2In(y' +1)

A: The given clairuat equation y=xy'-2lny'+1 s the first order nonlinear ordinary differential…

Q: dy = 3y³t2 dt

A: Given differential equation is: dydt=3y3t2 Rearranging the terms we get, dyy3=3t2dt Integrating both…

Q: 4. Calculate(Y/X)- – 2)* if: X = (; -) Y = (% ) z = ( ) (G Đ=z (F- )=« (4- )-

A: We will find out the required value.

Q: 4) 8r dz dy dr

A: Solve the triple integral

Q: Parallel to x + 2y = 0; (1, 2) on line

A: To find the equation of line paralley to x+2y=0 and (1,2) is on the required line.

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

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Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

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Q: 2x Aegl ää Jas y(0.1) d y(0)=1 , h=0.05 y' = y - y

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Q: Ex; y* + 8y" + 16у %3D0

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Q: If UX = 6 and XY = 6 solve for UV. Round to the nearest %3D %3D hundredth. Y

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Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

Q: 2. xy2 = 6 at point (6,1)

A: Follow the procedure given below.

Q: max z = 2x + 8y %3D s.t 3x + 9y 12 х, у > 0

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Q: If UX = 6 and XY = 5 solve for UV. Round to the nearest %3D %3D hundredth. U

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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: 2y*+1 dy 3

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Q: 4y² – 25 -dy

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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: 17. Passes through the point (2, 1) and is perpendicular to y = -x+ 3.

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Q: Differentiate: y = 4cos (-)

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

A: From the given data

Q: 7 dy if Xy+2x +3y =1

A: We use implicit differentiate method to find dy/dx.

Q: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

A: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

Q: dy dt = y(у — 4)(у — 8), до 20

A: see my solution

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (x, y) =

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Q: The equation of the line with gradient 3 which passes through the point (1, -4) is: O y = 7x – 3 O y…

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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: (1 - V2) dt 44. 46. (2z – 3) dz - 3

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Q: 2. dy 5y=Dy

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Q: In x y of y = 3

A: Find your answer below

Q: Determine the equation of the line tangent to y = /1+x³ at the point (2, 3).

A: The given function is y=1+x3. Its derivative is obtained as, dydx=ddx1+x3=121+x3ddx1+x3=3x221+x3 at…

Q: 5 +4y = 2 y(0)=1 dt

A: Given problem is:

Q: yz 4. II »z dr dy dz Jo

A:

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

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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: 3 2 | z=1 y=1 -2(x + 1)y dy dz بائية

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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 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: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

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: 10 1 y = 5 dt y(0) = -1 = 2 ot

A:

Q: у" — 4y' + у %3D ex + 15

A: