(Dª + 2D³ – 6D² – 16D – 8)y = 0

Q: Find the general solution for the differential equation: y" – 2y + y = 7-

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Q: Find the solution of the differential equation that satisfies the given initial condition. xy' + y =…

A: The given differential equation is  xy' + y = y2, y(1) = - 10

Q: Solve the differential equation dy _ y(2x² + y²) dx 2x3 by the homogeneous method.

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Q: Find the solution of the Linear Homogenous Differential Equation with Constant Coefficients. (D3 +…

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Q: Determine the solution of the differential equation 2y() + 3y"" + 2y" + 6y' – 4y = 0

A: Follow next step

Q: Find the general solution of the differential equation y" + 2y' = -2te 24.

A: y''+2y'=-2te-2t find roots for the homogeneous system r2+2r=0 r(r-2)=0 r=0, r=-2 for real roots…

Q: Solve the differential equation using Frobenius Method 2x(1−x)y” +(5—7x)y' −3y=0.

A: Sol:- 2x1-xy'' +5-7xy' -3y=0A linear homogeneous ODE with constant coefficients has the form of…

Q: A particular solution of the differential equation ,"-3y'-4y = e* 4x 1S , = xe* /5

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Q: Solve the differential equation y''' - 3y'' +3y' -y= t2et, y(0) =1, y'(0) =0, y''(0) = -2

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Q: Find the solution of the differential equation y" - 2y'-15y= 0 provided that y(0) = 0 and y'(0) = 1.

A: The differential equation is given as y''-2y'-15y = 0 The auxiliary equation is given as m2-2m-15 =…

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 a general solution of the differential equation: y" +6y' + 8y 5sinx

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Q: yl" +4y/+3y =1

A: we will solve this by using Laplace transformation. Consider the equation y''+4y'+3y=1. Take Laplace…

Q: Find the solution of the given differential equation. z²y-y , y+1 ; Y(3) =-1 %3D

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Q: Find general solutions of the differential equation      xy'+6y =3xy^(4/3)

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Q: Find a general solution of the differential equation: y" + 6y' + 8y = 5sinx

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Q: Find a particular solution to the differential equation Ур = -6y" - 5y'-y = -(t² + 2t + 2e²t).

A: To find a particular solution to the differential equation.-6y''-5y'-y=-t2+2t+2e2t

Q: The general solution of the differential equation y +4y 0 %3D is

A: Topic-  differential equations

Q: The solution of the differential equation (D²-4D+4)y = e using the method of undetermined…

A: We will solve the give question by method of undetermined coefficients.

Q: Find a general solution of the differential equation: x²y" – 3xy' + 4y = 2x -

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Q: Find a particular solution to the differential equation y" – 1y' – 20y = -400t.

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Q: Solve the non-homogeneous differential equation y" – 3y" + 4y = 2e2t

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Q: Find a particular solution to the differential equation Ур || y" + 5y' + 6y=-108t³.

A: Given differential equation is y''+5y'+6y=-108t3 We have to find a particular solution for it.

Q: (D³ – 3D² – 3D + 1)y = 0

A: To find out the solution of the differential equation.

Q: The general solution of the differential equation 4y"-4y' + 13y =0 at x=0 is

A: Given the equation 4y’’-4y’+13y=0. We need to find the general solution above differential equation…

Q: Solve the differential equation y''' - 3y'' - 4y' + 12y= 12e-t, y(0) =4, y'(0) =2, y'''(0) = 18

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Q: Find the general solutions of the differential equations y 4 =16y

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Q: Find general solutions of the differential equation     x^2y'+2xy=5y^3

A: Given Data The differential equation is x²y'+2xy=5y3.   Divide the differential equation by y3 and…

Q: Find general solutions of the differential equation       xy^2y'=x^3+y^3

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Q: Find general solutions of the differential equation    xy'+2y=6x^2(y)^1\2.

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Q: Find the general solution of differential equation 3y" + 2y' -8y = 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: (D³ + 3D² – 4)y = 0 |

A: (D3+3D2-4)y=0

Q: Discretize the differential equation y" + y' + 4ty = (t – (})), y'(0) = 2, y'(3) = -2 with step-size…

A: Given the differential equation y"+y'+4ty=δt-32, y'0=2, y'3=-2, h=34. We will be using the following…

Q: Two linearly independent solutions of the differential equation y" - 4y'+5y = 0 are

A: We will find out the required solution.

Q: £{(2t – 2) U(! – 2)}

A: Given operation is L(2t-2)u(t-2) It is known that u(t-a)=0t<21t>2 Since,…

Q: Find the differential equation having the solution a. y = C,e¬* + Cze=2x + x b. y = C, + C2e³x

A: Explained below

Q: Solve the differential equation y´´´-3y´´+3y´-y=t2et ; y(0)=1, y´(0)=0, y´´(0)=-2

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

A: see below solution

Q: One solution of the differential equation -y" +7y'- 10y = 0 is y = e. A second linearly independent…

A: Given the differential equation-y''+7y'-10y =0

Q: (D³ + 2D² + D + 2)y = 0

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Q: Find a general solution of the differential equation: у" — 4y" — Зу' + 18у %3D Зе* -

A: see the attachments

Q: The general solution of the differential equation (D² +3D+2)y=D0

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Q: A/ find solution for the differential equation below: Y"' - 6Y" + 11Y – 6 = 0

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Q: Find general solutions of the differential equation    3xy^2y'=3x^4+y^3

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Q: Solve the differential equation (D² – 8D + 16)y = -3e4x by an %3D appropriate method.

A: Given: D2-8D+16y=-3e4x The auxiliary equation is: m2-8m+16=0 Now solve;…

Q: Find the general solution of the differential equation. 625y4) = 16y %3D y(x) =|

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Q: solve the differential equation xy'=y+6(16x^2+y^2)^1/2, y(1)=0

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Q: Solve for the particular solution of the non-homogeneous differential equation. 1. y''-4y'-12y=3e5t

A: Solve for the particular solution of the non-homogeneous differential equation. 1. y''-4y'-12y=3e5t