(D³ - 3D2 + 9D + 13)y = 0

Q: 3.Find [, (3x² + y)dydx -2

A:

Q: 3. (D3-2D2+D-2) y=0 4. (4D3+28D²+61D+37) y=0

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Q: d²y dx2 -y = 10sin²x

A:

Q: d²y Find if 2x'-3y=7 dx²

A: Given that       2x3 - 3y2 = 7 Here we have to find     d2y/dx2

Q: Find d2y/dx2.  y = 2x2 + 1

A: Let function f(x) be y = 2x2 + 1                        To find :  d2ydx2…

Q: (D3 + 4D² + 9D + 10)y = -24e* %3D

A: Let's find.

Q: d) (D3 – 3D2 + 4D – 2)y = e* -

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Q: (D³ – 2D² – 3D) y = 0

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Q: D7 + D® – 2D$ – 2D4 – 7D³ – 7D² – 4D – 4) y = 0 - - - -

A: follow next step

Q: calculate d2y/dx2 when y=.4x-.3

A: Given function is y=4x-3. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the…

Q: (4D4 - 4D3 - 3D2 - 2D + 1)y = 0

A: We have to solve the given equation.

Q: 1. (D³ - 3D²D + 3)y = 0

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

Q: -. (D² +4D+4)y=-x*e y =-x³e

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Q: Sx, y) = 2r - 3y²

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Q: 3t y" - y' - 6y = t²e³t - 4t², y(0) = 0, y' (0) = -1

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Q: 5. (D4 – 2D3 + 2D² – 2D + 1)y = 0 |

A:

Q: dx -7- +dd 24-y=3t73t 6t-3e

A: The given first order linear system of equation can be written as: D+2x+D−1y=3t2−3e−t…

Q: (D³ -3D* +4D³ -8D² +16),y = 0

A:

Q: d²y Find dx2 if –10x – 6y = -6.

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Q: y = (t² – 2)². a²y = t2 dx²

A: Derivative Question

Q: d2y/dx2, where y = 4x3/2

A: Given- y=4x32 To Find- d2ydx2 Identity Used- The power rule of derivative ddxxn=nxn-1

Q: dy +y%3DX² 2.

A:

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: (D³ – D)y = 4e * + 3e2* %3D y" = (-Axe* + 3Ae*) + 8BE2* %3D

A:

Q: - y² dy 3y 50.

A: Simplify the expression and integrate it.

Q: [D³ – D)y = -2(1+x) + 4e* - 6e¬* + 96e3× %3D

A:

Q: Find d2y/dx2.  y = 2/(2 + x2)

A: Given: y=22+x2

Q: 2. y" - 8y" - 31у' + у %3D - (у' + у)

A: Given differential equation y'''-8y''-31y'+y=-y'+y. The objective is to solve the differential…

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

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

Q: (D³ + 3D² + 3D + 2)y = 0

A:

Q: Find d3y If y= W3-2x dx3

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Q: * (D-2y'y(x) -0 d Ja -1

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Q: 2 D²y+y=secx²

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Q: (D³ - 3D² - 6D + 8)y = xe

A:

Q: z = = 9x°y° dz = %3D

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

Q: d (b) sec2(x³) Vx2+6 d (c) dx \(x3-4)5

A:

Q: b) y' - y = 2x3 y(1) = 1 | c) y' -8x3y e2x* y(0) = 2

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Q: (D² – 8D + 16)y = 4e¬v2t, y(0) = -1, y'(0) = 3;

A:

Q: 2x + 글y=D2 %3D

A: Given,          The equation is 2x+12y=-2.

Q: d4y Q4\ b) Find : Y=3X³-4X²+7X+10 dx4

A: Given: Y=3x3-4x2+7x+10

Q: 2. (D3 + D2 - 2D)y = 0 %3D

A: Using method of linear differential equation.

Q: 2 ( D° _ 2D - 20 - 3D - 2) y = 0 = 9

A:

Q: (D³ – D)y 3x %3D -3x2 а. Ур -3 2. b. Ур 3x2 +3 2. С. Ур -3x2 +2 3x2 d. yp 2. ||

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Q: (2D* + D3-4D2 - 10D - 4)y = 0

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Q: Sx - 2y - 5x y = 9. %3D - 1

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Q: 3. (D5- D-2D3 + 2D2 +D – 1)y = 0

A: This is a differential equation problem

Q: 3. (D3 - 4D2 + 7D)y = - 11

A:

Q: dy Calculate y = -6x2 + 2x %3D

A: