© (DS+ 3D4+3D³+D²)y=0

Q: 8- (y – y) dy

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Q: Vy - y 3 b) dy 2 y²

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Q: 5) (x- 4)² + y² = 9 Center Radius

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Q: 1?y" + 4ty' - 4y = 0; y(1) = 5, y'(1) = %3D %3D

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Q: 40 = 7=- y 21 b) %3D %3D

A: We have to find x and y

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

A: The solution are next step is

Q: Vye-y" dy 2.

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Q: (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y” = 0.

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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: y? – 12r + 8y = -40 16x2 + 72x-112y = -221 |3D O Option 1 O Option 2 (y+) = -5 (x - }) %3D

A: The given curve is a parabola with vertex at(2,-4) and focus is at (5,-4).

Q: y =\nNX ), find y %3D メ43 find %3D (メ43) 8.

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: y² (y + 2)ï dy

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Q: 2) y' – (cotx)y = -(2cosx)y2 %3D

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Q: y = x(2x+1), y" y = (4x − 3)¹/²2, d³ y dx³

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first…

Q: c2 Find (4x + 3y)°dædy

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Q: Fin (x ¯+y¯) 2 x+y?

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Q: 2 y (4- y²)³ dy

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

Q: Find dy. y = 8x° - 7x - 3 5 dy =

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Q: Find d² y dx² for x³ + y³ = 2 43

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Q: 8. (D2- 2D+ 1)y = xlnx

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Q: y" + 4y' = 3sin2t + tcos2t %3D

A: The solution for the above question is as shown below.

Q: in yy = 2 y-x; %3D

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Q: +(ux+y-3) dy=D0 Q=Ap(5-人+以り)+ Xp[^ーメ2)

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Q: (D³ – 3D + 2)y = -7 у" - 9y' %3D 27

A: (1).    The given differential equation is: D3-3D+2y=-7

Q: Use x = 12 and y = -10, to evaluate: %3D 18. 11x -12y = %3D

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Q: (D³ + 3D² + 3D + 2)y = 0

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Q: dx 3 - 2х-х*

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Q: d²y х? — Зху - 10у - 9 %3D0 dx?

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Q: 2) Solve ² y' = y(0) = 1 %3D 2 y+ 1 '

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Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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Q: (2D 3D-2)X+(D+ZD-494-4 D+HX+LD+2}y=o

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Q: That sove dy dz² -244 %D 2

A: Given,           y3-y=2x

Q: (а) у"— (а + В)y' + аBy %3D 0 (а + B)

A: Answer as follows

Q: d³y of y = (3x*-5)(2x³+9x-6) Determine the %3D dx3 7x5

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Q: 1 d. y = Vx6+1 Rewrite y = y'3=

A: (d).   The given function is: y=1x6+1

Q: - dy (y + 4)(2y – 1)

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Q: J 3x - y = 8 - y3= 3D8 46. - 2x + y = 4 %3D

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Q: 6. (D² + 1)y =- 1 %3D 3

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Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: Н. W.: -1/3 6dx 2. V9x2+ 1 c2/3 dy

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

Q: 4-y² ²) dædy 2 2

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Q: er of y+ 3

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Q: y X

A: The points are obtained in the attachment.

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

A: Using power series method.

Q: (D + 3D + 2)y = xsin 2x

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Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: y² (y + 2)ã dy

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Q: 1 y dy Sza 3 (a²-y²)²

A: