2 c4 e-x-2y dydx 2х

Q: y4 + y² – 1 dy y3 + y

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Q: 2x+y 4ー dそdXdy -V4-y2

A: Triple integral is an integral of an integral with respect to three different variables. the…

Q: Зх +8 (y-3x) dydx y + 5x —1 ) — 5х (y – 3x)"

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Q: d²y dx2 -y = 10sin²x

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Q: (D³ – 4D²D'+ 5DD² – 2D ) z = e'*2* + Vy +x.

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Q: 2 4 (6x2 + y ) dx dy =

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Q: Solve for y: (D^3 - 3D^2 + 3D - 1)y=0

A: The solution are next step is

Q: y" + 2y' – 15y = e3x %3D

A: We find particular integral by inverse operator

Q: 3x2 +- 8(y + 1) = 0 dy y+1

A: Comparing the given equation with the equation Mdx+Ndy=0, we have M=3x2 and N=x3y+1-8y+1 Now we…

Q: rx dydx Vx2+y2 0.

A: We solve this double integration problem by substitution method as given below in solution

Q: 1 -a 2 y dy 3 (a²-y²)²

A: Given :∫012aya2-y232dy

Q: 1. (D³ - 3D²D + 3)y = 0

A: To Solve: (D3-3D2-D+3)y=0.

Q: 3.2 (2x - y²) dxdy

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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: 2 y (4- y²)³ dy

A: The objective of the question is evaluate the definite integral.

Q: (D³– 4D°D'+ 5DD2 – 2D ) z = e'*2* + Vy + +2x +Vy +x. |

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Q: Find dy. y = 8x° - 7x - 3 5 dy =

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Q: 2x e y = 2x y = (3x² – x).(*2) 5x+2 y =

A: Here we have to find the derivative of the given two functions.  In first function we use chain rule…

Q: (e) y"+4y' = -4y %3D

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Q: ) y( 3x*- xy - 7)d -x ( xy ty- 2x) dgy = 0

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Q: x² 2. y- 3D1 4)

A: 2) standard form of hyperbola (y-k)2a2-(x-h)2b2=1   ....(1)given y2-x24=1(y-0)212-(x-0)222=1…

Q: -10x Given an equation x3 – y3 = 5, show that y" %3D y5

A: We will show the given statement.

Q: f (6x?y2x)dydx y-2x)dydx

A: To evaluate the double integral

Q: (e) (2x +1)²y "–2(2x +1)y '+ y = 2x %3D

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Q: 1 dydx 4+ y³ 0. 2.

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Q: 6y²dx – x(2x³ + y)dy = 0

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Q: y" + 6y 2+e 1x 二

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Q: 1- (D² – 2 D + 1)y = 2x + 2

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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Q: Resolve yDx-2(x + y)Dy = 0 O x² + 2y = cy² ○ x + 2 = cy² O x + 2y = cy² Ox+2y=c

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Q: 2 V4-x2 e*²+y* dydx =? -2 0

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Q: 12e* 10) y"-2y'+y =-

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Q: z = = 9x°y° dz = %3D

A: Given that z=9x8y6To find :  dz Solution…

Q: 5. x + y 10x + 8y + 16 = 0 %3D -

A: Consider the following equation of curve:…

Q: I-y+z=1 2x + 2= 2

A: The system of equations are : x-y+z=12x+z=23x+y-3z=3 Apply the cramer's rule in the system of…

Q: b. ] ] 6x²-2x-1 3 4x -X d -dx

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Q: 6. (D² + 1)y =- 1 %3D 3

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Q: -5x 2. バ+5y=15x → Y=×- ユメ金 25 aフ+1つ X

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Q: Show complete solution. 6y^2dx-x(2x^3+y)dy=0

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Q: c. y = x° - 4x 3 %3D

A: Given: y=x3−4x

Q: x2 + 4y2 + 322 = 3 дх ay

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Q: d) y" -ry +3y = 0 %3D

A: Using power series method.

Q: 3.y=1x² -2x リ=(x-2x)。 dy=$(x²-2x)*x (2x-2) -2x) 12 (2x-2 %3D /2-) メ 2メ-2 d メ-

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Q: 3 1 (x + 2y)dydx -1 a) 5 b)7 O d)-:

A: Please check step 2 for solution.

Q: y'- 4y + 4y = x(2e²× + xsinx)

A: The given differential equation is                    y''-4y'+4y=x(2e2x+xsinx) ⋯⋯⋯ i The…

Q: B.2.a. xy" - 2y + y = 0 x Y₁ = x4

A: see my solution

Q: 7 Find *: (a) 4x y3 + 2x'y-y-2x-4 = C dx

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Q: 2x+1 1. y = x-1

A: Given that  y=(2x+1)/(x-1) To graph the y

Q: 2. x³ydx+(3x4-y³ dy=0

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Q: V8 -x² 2 (x² +y²) dydx

A: