(D2 + 6D +9)y

Q: (D³ – 3D + 2)y = -7 5.

A: Solve the following

Q: - 2. (4)y=x'. D² +5D+

A: Given differential equation is, D2+5D+4y=x2.

Q: ¬(D – 6)°(D+4)y = 6x is_

A:

Q: (D3 + 4D² + 9D + 10)y = -24e* %3D

A: Let's find.

Q: b. (D² – 4D + 4)y = e2x

A: problem is solved using CF and PI method

Q: (r² 4xt3)+(3x°- 3X -5)

A: Given: x2-4x+3+3x2-3x-5 To find: Simplification.

Q: 1. (D²-5D+6)y = 2e

A: This is a problem of differential equation.

Q: 4. (D2 - 5D + 4)y = 2x2 - 6x – 5 フェ

A:

Q: D² + 6D + 8)y = 12xe-4*

A:

Q: (D5+ D4-7D³ - 11D²8D-12)y = 0

A:

Q: (Dª + 3D³ – 6D² – 28D – 24)y = 0 -

A:

Q: а) х — бх — 27 b) 25х2 — 49 c) 4x2 + 20x + d) 6x² | - x - 2 -

A:

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: y'-5y = x²e* – xe³*

A:

Q: (D2 – 1)y = 8xe*

A: The given problem is to find the general solution of the given differential equation, we have to…

Q: 18 A D. 5x-7

A: Given ,  We have to find value of x

Q: (D* – 2D – 7D² + 8D+12)y = 0

A:

Q: y = 7x2, y = x2 + 3 %3D

A: Follow the procedure given below.

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: (D2 – 4D + 4)y = e3x

A: Given ODE is: (D2-4D+4)y=e3x

Q: (D²+4D+5)y=35e : y(0)--3, y'(0)-1

A:

Q: D. (2x+ 3) y' = y + y²(2x+3)"

A:

Q: (n² . D - 6).y = 18 ²-<* (p² 2 2x 2.

A:

Q: x - 3y = 1 2x – y = 7

A: Our Aim is to solve the given equations below:-x-3y=1 -(i)and 2x-y=7 -(ii)

Q: 6. (D - 4D2 + 7D)y = 0 (D3

A:

Q: Find y" 3x +4 y = 2x - 3 y" =D

A:

Q: . (D³ - D² - 4)y = 0

A:

Q: (D² - D - 2)y= 1-2x - 9e-2

A:

Q: (D²-2D-3)y=64xe³x

A: We have to solve the given differential equation.

Q: (D² – 4D+ 7) Y = 0

A:

Q: 2. (D² + 4)y = 5e* - 4x

A:

Q: (D* – 1)y = 7x²

A: We have to obtain the general solution for the differential equation…

Q: f'(t) = 6t2 + 2t - 4

A: Given: f't=6t2+2t-4 for finding solution of given differential equation, we use variable separable…

Q: (D² + 3D + 2)y = 12x²

A: The differential equation is given as (D2+3D+2)y=12x2 The corresponding homogeneous equation is…

Q: d2-5d-20=0

A:

Q: (D² + 4D + 5) y = 50x + 13e³x

A: To obtain the general solution of the nonhomogeneous differential equation y''+pxy'+qxy=gx, apply…

Q: (D* + 2D' + D² +12D+20)y = 0 2.

A: This is a problem of second-order differential equation.

Q: fx) dx = -5x* + 3x² + 6x + C

A:

Q: 3. 4. (D2 + 9)y = 5e* – 162x2 %3D

A:

Q: y"-4y =x²e*

A:

Q: (D6 – 3D5 + 3Dª – D³)y = 12

A:

Q: Vx2 – 4 d.x 3.

A: Please refer the attached image for complete solution.

Q: (D² +25)y=4x²-3e5 ; is

A:

Q: g(æ) dæ =D %3D 4 -8 -4 -6

A:

Q: - (D² – 1)y = 8xe*

A: Given that       (D2-1)y = 8xex Here we have to obtained the general solution.

Q: y = V16 - x2 y 3 2 -4 -2 2 4 -1F

A:

Q: d' y dx2 Find . 15x2 ty-8

A: The equation is 15x2 +y2 = 8.Separate y terms as follows.

Q: (D⁴ + 6D² + 9)y = 0

A:

Q: 4. (D² – 5D + 4)y = 4x

A: