(D³+ 7D² + 6D)y = 0

Q: 4. Obtain the general solution. y"-4y'+4 y=3e²*

A: for the solution we have equation y" - 4y' + 4y = 3e2x so now characteristic equation of this is...…

Q: (Dª +2D³ + D² +12D+20)y = 0

A: We have to find the general solution of the equation.

Q: Find the general solution. (2D3 + 14D2 + 24D + 38)y = 0

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Q: (D² + D)y =x+| ;

A:

Q: Find the general solution. 1. (D2 + 3D − 18)y = 0

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Q: Find the general solution. 3. (D + 6D3 + 9D?) y = 0

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Q: Give the general solution of (D5 - 3Dª + 8D² – D – 5)y = 0

A:

Q: Find the general solution of (D4+ 32D²+256) y=0

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Q: Obtain the general solution C. (D2 + 2D + 2)y = e-x

A: Obtain the general solution C. (D2 + 2D + 2)y = e-x

Q: A. Obtained the general solution. E... 10. (D² – 3D + 2)y = 3x²

A:

Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

Q: Find the particular solution: (D^2-4)y=4x-3e^x

A: We need to find the particular solution of : (D2-4)y = 4x-3ex

Q: Find the general solution to t?y" - 13ty' + 49y = 0

A:

Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0

A: First I have find the roots of the auxiliary equation and then according to the roots find the…

Q: Find the General Solution: (D2-1)y = (1-e2x)-3/2

A:

Q: Find the general solution of the BDE, y' = a. y=1-Cx 2x2 b. y= 1+Cx С. у3 1+Cx2 2x d. y= 1+Cx2

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Q: The particular solution of (D³-5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Find the general solution of the following: 7. (D³ – 4D² + 4D)y = 0

A:

Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D2 – 26D+20)y = 0 ="

A:

Q: Obtain the general solution.  1. (D4 - 5D2 - 6D - 2) y = 0 2. (D5 - 5D4 + 7D3 + D2 - 8D + 4) y=0

A: According to question, Given differential equation, 1. (D4 - 5D2 - 6D - 2) y = 0 2. (D5 - 5D4 + 7D3…

Q: Find the general solution for: (D² + 20D + 200)y = 20

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Q: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3* -3x

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Q: Find the general solution of (D² – 4)y = 4x – 3e*

A: Given Differential equation is (D2-4)y=4x-3ex

Q: Give the general solution of (D5 – 3D4 + 8D? - D – 5)y = 0

A:

Q: A. Obtained the general solution. 1. (D2 – 6D +9)y = e*

A: In this question we have to find the general solution.

Q: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3x

A: The given differential equation, D2+6D+9y=18e-3x.....(1) is a non-homogeneous linear differential…

Q: 11. (D- D)y = 0.

A: As per our guidelines only one question can be solved. Please find the solution for Q no 11 below:

Q: Obtain the general solution. (D^4- 5D^2- 6D - 2)y = 0

A:

Q: Give the general solution of (D5 + 2Dª + 7D³ – 4D² – 26D + 20)y = 0

A: Solution:-

Q: 4. Obtain the general solution (D³ + D² - 9D - Dly = 6e*+ 3° 3x 3xe

A:

Q: Give the general solution of (D5 – 3Dª + 8D² – D – 5)y = 0

A:

Q: Give the general solution of (D5 – 3D4 + 8D? – D – 5)y = 0

A:

Q: What is the general solution of (D² – 4D + 7) y = 0?

A: This question is based on solution of differential equation.

Q: Find the general solution please. (D3 -D)y =-2(1+x)+4ex -6e-x +96e3x

A: Given that the differential equation is     (D3-D)y = -2(1+x)+4ex-6e-x+96e3x  Here we have to find…

Q: The solution of y – 6y – 2y = 0 is -

A:

Q: The general solution of (D³– 4D²)y=0 is A y=(c+ c2x)e¯* +c3ex B y=c+ c2e +c3e-2x © y=c1+ c2x +C3e¬4x…

A: To find the general solution of given differential equation.

Q: C. Find the general solution to (D* – 2D’ - 7D² + 8D +12)y = 0 1.

A: According to company rule, we can answer only first question and rest can be reposted.

Q: e general solution of y6) + 4y(4) + 3y" = 0 ?

A:

Q: Find the particular solution: (D4 + 3D³ + 2D²) y = 0 when x=0, y=0, y'=4, y"=-6, and y"=14.

A: Given

Q: The general solution to (D4- 4D2) y = 0 is

A: Given,  D4-4D2y=0

Q: Give the general solution of (D5 – 3D* + 8D² – D – 5)y = 0

A: To find the general solution of  D5-3D4+8D2-D-5y=0.

Q: Determine the solution of (D3 + 9D)y = 0

A: Given equation is: (D3+9D)y=0 So, the auxiliary equation is: m3+9m=0m(m2+9)=0m=0, 3i, -3i

Q: 11 y" - 4y = x? e3x

A: We have to find the particular solution of the differential equation y''- 4y=x2e3x .

Q: 9. (D2 - 2D +5)²y = 0 %3D

A:

Q: Find the general solution: [D4 – 6D³ + 17D² – 28D + 20]y = 0

A: Since you have posted multiple questions and we can answer one question. So answer provided for…

Q: find the solution (D^2-d-6)y=0 when x=0, y=0 and x=1, y=e^3

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Q: Obtain the general solution to (D2 + 1)y= secCxcscx

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Q: The particular solution of (D³ + 2 D² − 5D - 6)y = 0, when x = = 0, y = 0, y' = 0, y" = 1

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Q: Find the general solution 4. (D2 – 9)y = 0 - %3D

A: We are authorized to solve only one question, please repost remaining questions Differential…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.