2. (D5 –D – 2D³ + 18D² –31D+15)y =0

Q: (D² +D- 1)² y = 0 , when x = y = 0 , y' = y" = 1, y" = -1 %3D

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Q: (D4 + 3D3 – 6D² – 28D – 24)y = 0 (D3 + 3D2 + 3D + 2)y = 0 -

A: 2) (D3+3D2+3D+2)y=0 The auxiliary equation is…

Q: d = V(22 – a1)° + (42 – Y1)² %3D - - (8, -3) and (-5, 6)

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

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Q: (D3 + 4D² + 9D + 10)y = -24e* %3D

A: Let's find.

Q: 8. (2D3 – D² + 36D – 18)y = 0; when x = 0,y = 0,y' = 2,y" = 4 9. y" – 3y' – 4y = 16x – 50cos2x

A: As per guidelines we have to solve one question please repost other questions

Q: d) (D3 – 3D2 + 4D – 2)y = e* -

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Q: dy Find if y 3e2 3z 一山 %3D O -9e 2

A: Using chain rule of differentiation.

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

A: follow next step

Q: If z = 3x2 – 2y3, x = 1+ s²t and y = 33 – t2, then dz %3D O a) 6x(1+ s²)+ 12ty O b) 6s²x – 12ty - c)…

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Q: 1.y" — у' — 2у 3D 7sinh3t — Зcosh3t ; У (0) 3 2, y'(0) = 4

A: The given differential equation is y''-y'-2y=7sinh3t-3cosh3t; y0=2, y'0=4. Calculate the values ys…

Q: (D^2+2D+2)y=e^-x(cscx)

A: To find any general solution of a differential equation we have to find complementary function and…

Q: Q2. (a) dy = (x + y + 3)² (b) 2xy4 = 4x² + 3y?

A: Given that a)dydx=x+y+32 b)2xydydx=4x2+3y2

Q: 5. (D³2D+4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.

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Q: D2 – 5D +6)y=3xex+2x2 , y(0)=0,y,(0)=1

A: Given differential equation is homogeneous ordinary differential equation. To solve this equation…

Q: 4. (D² – D – 6)y = 0; when x = 0, y = 3, y' = -1 %3D

A: Use this auxiliary equation and complementary function

Q: 1. (D2 + 2D – 1)y = 0 2. (4D4 – 4D3 – 23D² + 12D + 36)y = 0

A: Given the Differential equation: 1) (D2+2D-1)y=0 2) (4D4-4D3-23D2+12D+36)y=0 We need to solve the…

Q: d*y + 2d*y_ a²y +25 1³y %3D dx4 dx3 dx2

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 4. (D2 + 2D + 1Jy = 6

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

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Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

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Q: 3. (D² — 2D + 1) у %3 е* In a

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Q: 7. (D5 – 2D³ – 2D² – 3D – 2)y = 0 8. (2D3 – D² + 36D – 18)y = 0; when x = 0, y = 0, y' = 2, y" = 4

A: Note:- this is multiple questions and you have not mentioned is here which question you want to…

Q: P + 7, y = t' + 6t, t = 2. d²y %3D 7 dz

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Q: d3y find 3 5) If y = 4x + z %3D dx3

A: Given that: y=4x3+3x2

Q: D² + D – 1)²y = 0 ,when x= y= 0 , y' = y''' = 1 , y" = -1

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Q: r+ 2y 3x+ 8y =D 4 %3D %3D y =?

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Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

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Q: dy Given x2 + 2y² = 9. Then, dx2 (A 64x2 B 4y3 (© 32xy 16 (D 9y

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Q: 4. 2dx Evaluate. using Trapezoidal rule with n = 6. 4x+3

A: Given integral

Q: (D² – 3D + 2) y = 16 a. y = cj eª + c2e2 + 8 b. y = c1e¬# + c2e2« + 5 c. y = cieš + c2e² + 10

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Q: 10. [D -14D +8]y=34e* + 23cos(3x)

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Q: (D3 – 3D2 + 9D + 13)y = 0 sle plel Ja

A: The given differential equation is ;                    D3-3D2+9D+13y = 0 We have to find the…

Q: (D3 – 2D2 – D + 2)y = 10sin2x – 5cosx - -

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Q: 5. (D4 + 2D3 + 10D²)y = 0

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Q: is: -2-z A) II -2(y – 2) dy d.x 2 B) -2r(y – 2) dy dr c2-z C) (-2(1+ (у — 2)?)y- 2) + у) dr dy 2-2…

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Q: 5. (D2 – 5D + 6)y = 18x2 + 12e2* (Assume yp = Ax² + Bx + C + Ee2x)

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Q: (D³ + 7D² + 19D + 13)y = 0 when x = 0,y = 0,y' = 2,y" = -12 %3D %3D

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Q: (b) x²d²y dr2 dy + 16y = 0 + 9.x- dr

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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

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Q: (D³ – 4D² + 4D)y = 0 (4D² – 6D + 1)y = 0 %3D

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Q: 6. (D5 – 16D³)y = 0 7. (D² – 2D + 5)y = 0 - -

A: First I have written the auxiliary equation of given differential equation and then find its root…

Q: dy Given y = 2u? and u = 8x – 1, then dx - 8(64x? – 2x + 1) 0 خيار 4 48(8x – 1)2 0 خيار 3

A: The derivative of xn is calculated using the formula, ddx(xn)=nxn-1 .

Q: 6. (D³ + 2D²)y = 0; when x = 0, y = -3, y' = 0, y" = 12

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Q: d'y Given x2 +2y? = 9. Then, dx2 6. 4y B 64x2 16 9y 32 xy

A: The given equation is   x2 + 2y2 = 9.     ....... (1) Differentiate (1) on both side with respect to…

Q: 4. (D² +D-1)²y = 0 ,when x= y = 0 , y' = y" = 1, y" = -1

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Q: 23D + 12D + 36) 5. (D + 3D² + 3D + 2)y = 0 6. (D3-4D2 + 7D)y = 0 7. (D + D)y = 0 %3D

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Q: c) y" + 2y" = 32e²ª + 24x, y(0) = 6, y'(0) = 0, y″(0) = 14

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3. (D4 – 2D3 – 13D² + 38D – 24) = 0

A: As per bartleby guidelines we only give first question answers.

Q: 9. (D+3D² + 3D+1)y = 0. 13. (4D* +4D³ – 3D² - 2D + 1)y = 0.

A: As per our company guidelines we are supposed to answer only 1 question. kindly repost other parts…