(D6 – 3D5 + 3D4 – D³)y = 12

Q: 2y" – 3y +y –0 4y" – 9y – 0

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Q: (D³ + D² – 21D – 45)y = 0

A: Given differential equation is  (D3+D2-21D-45)y=0

Q: 1. (D+3)²y = 0

A: As per Bartleby guideline,  in a multiple questions, we have answered only the first question.  You…

Q: 2. Covert the differential equation into a system and solve the system: (D2 + 4D + 5)y = 0 %3D

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Q: Solve the following homogeneous partial differential equation (D² – D D' – 6D²) = e2x-3y [ find C.F…

A: Given below the detailed solution

Q: 4y′′ − 4y′ − 3y= 0

A: Given differential equation is 4y''-4y'-3y=0

Q: Find the general solution of the differential equation 14y^(4)+57y''+25y=0

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Q: Find the general solution of the differential equations. (c) y(4)+ 8y´´ + 16y= 0

A: (a)

Q: The equation k₁ d³y k3 dx³ 4 dy ka (de) + k₂y - k5x³ = 0 where ki R, is a third-order homogeneous…

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Q: Find the general solution of the given differential equations. y′′′ − 6y′′ + 12y′ − 8y = 0

A: The given differential equation is  y′′′ − 6y′′ + 12y′ − 8y = 0

Q: 5. (D³ – 3D² + 4) y = 0 6. (D³ – 2D² – 3D) y = 0 7. (4D3 – 3D +1) y = 0 |

A: Here we have to find the general solution of the given homogeneous linear differential equations.

Q: Find the general solution of the given higher-order differential equation. 16y + 4y = 0 d²y 16, dx2…

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Q: Find the general solution of the differential equation 3y" – 4y' – 4y = 0. - %3D

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Q: Find the complete solution of the differential equation d²y * +6 + 9y = 5x-3 %3D dx2

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Q: Find the solution of the differential equation (D² +5D +6) y = 0 A. y = C,e3x + C,e2x B. y = C,e3x +…

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Q: Solve the following Linear Homogeneous Differential Equations. 10. (D² – 2D – 3)³(2D² – 5D – 7)²y =…

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Q: Find the general solution of the following differential equations. 1. (D³ + 3D² – 4D – 12)y = 0

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Q: (b)Find the complete solution of the differential equation 3y" + 5y' - 2y = -2e*/3 – 5x %3D

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Q: Solve the following linear differential equations: 1] (D³ + 2D² – 5D – 6)y = 0 , y(0) =y'(0) = 0 ,…

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Q: The functions y1 = e0" and y2 = xe™ -8z are two linearly independent solutions of the homogeneous…

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Q: Find the general solution of the linear differential equations. (D* – 4D´ )y = 36 %3D

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Q: (D³ - 2D + 4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.

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Q: Solve the Linear Higher Order of differential equation using the formulas below. (D³ – 2D² +…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: y" + 6y' + 13y – 0 9y" + 9y' + 4y –0

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Q: Which of the following are first order linear differential equations? B. d + 21P = P + 41 – 2 dt

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Q: The solution of the differential equation     D3(D−2)5(D2+3D+4)(D2+5D+1)3y=0 contains how many…

A: use the roots of homogeneous differential equation.

Q: Find the general solution of the following homogenous differential equations: 4. (D5 + 8D3 + D2)y =…

A: Auxiliary equation for DE in 4 is: m5+8m3+m2=0m2m3+8m+1=0m=0,0,-0.125, 0.0624+2.83i, 0.0624-i2.83

Q: Find the general solution of each of the differential equations. а) y" - 4y'+ 4у %3D 0 b) y" + 9y =…

A: The order of the differential equation is the highest derivative present in the equation. The…

Q: The solution y = c,e* + c2xe* is a linearly independent solution for the following differential…

A: The given equation is a second order linear homogeneous ODE of the form: A second order linear,…

Q: y''' + 3y'' − 16y' − 48y = 0

A: We have to slove given differential equation:   we have to find general solution ofDifferetial…

Q: 2. (D? — 2D + 5) у %3 25x² + 12

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Q: Find the general solution of the given second order differential equations. (а) у" — 16у 3D0 (b) y"…

A: Given the all differential equations are homogeneous So, we first find the roots of auxiliary…

Q: Find the general solution of the linear differential equations. (D^3-D^2+D-1)y=4sinx

A: See the details solution in below

Q: (c) Solve the following differential equations and show that their solutions are linearly…

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Q: Obtain the general solution of the following higher-order differential equations with constant…

A: The given differential equation is; y(3)-3y"+4y=0

Q: Find the general solutions of the differential equations in Prob- lems 1 through 2.. 1. y" – 4y = 0…

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

Q: (D² - 4D + 4)y = 0; when x = 0, y = 1, Dy = - 1.

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Q: Solve the following Linear Homogeneous Differential Equations. 1. (D² – 6D + 45)³y = 0 2. (D3 + 4D²…

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Q: d³u ,d*u 7 dt+ d³u + 12 dt3 d²u 2 +8 dt2 dt5

A:

Q: find the general solution of the given differential equation. 12y(4) + 31y‴ + 75y″ + 37y′ + 5y = 0

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Q: Solve the differential equations FODE. (2y - 1+ y7) dy = ( 1y) da 2х + 1+x²y2,

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Q: Find the general solutions of the differential equations in Prob- lems 5. y" + 6y' + 9y = 0 6. y" +…

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Q: In the differential equation, (D3 – 2D2 – 3D)y = 0; assume a. y, = A + Be-* + Ce3* b. y, = A + Be* +…

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Q: (D* + 18D2 + 81)y = 0

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Q: Find the general solution of the differential equation, 4y" + 4y' = 2y.

A: see below solution

Q: find the general solution of the linear differential equations . y'' -3y'-4y=30e^4x

A: Given that, Differential equation is foloowing, y'' - 3y' - 4y = 30e4x We have to find the genral…

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?…

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Q: Find the general solution of the differential equation,2y′′−8y′=−8y.

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Q: Find the general solution of the linear homogeneous differential equation if m1=-4 is one root of…

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Q: Find the general solution of the linear differential equations. (D' – 4D² ]y = 36

A: Here we have to find solution of given differential equation,