(D³ + 3D² – 4)y = 0 |

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

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Q: 2. y Inxlny da + dy = 0

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Q: The general solution of the differential equation x²y" - 2y = Inx is

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

A: Follow next step

Q: Solve the differential equation with initial condition dy 7y²x3 dx %3D У (2) %3D 3

A: The main objective of the question is to establish relation between x and y.

Q: Find the solution of the differential equation (1+x² )y'+2.xy – 4x²y' = 0 (Bernoulli)

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Q: The general solution of the differential equation x²y" - 2y = Inx %3D is

A: Cauchy Euler differential equation of second order: x2y''+xy'+y=0 Let us consider x=ez Replace:…

Q: 6. (y2 – 3y – x)dx + (2y - 3)dy = 0

A: The given differential equation is; (y2-3y-x)dx+(2y-3)dy=0.

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

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Q: (D² – 3D + 2) y = (1+e-*)?

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Q: The general solution of the differential equation ²y" - 2y = Inx | %3D is

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Q: Find the general solution of the given second-order differential equation. у" - у' — 20у %3D 0 y(x)…

A: Given that: y''-y'-20y=0

Q: уаx + (3х — ху+ 2)dy %3D0

A: The given differential equation is is first order linear differential equation I have write the…

Q: Find the general solution of the ordinary differential equation: r²y" – ry + y %3D

A: The differential equation is given as x2y''-xy'+y=2x                         (1) It is a Cauchy…

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

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Q: Find the general solution of the given second-order differential equation. Зу" + 2y' + у %3D 0 y(x)…

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Q: 18.Find the general solution of the differential equation %3D xp xy-y2

A: To solve the given differential equation, first we convert it into separable form, and then we find…

Q: Solve the differential equation y" – 4y' + 4y = %3D -

A: Given that a differential equation : y" - 4y' + 4y = e2x/x.  Here i attached solution of this…

Q: The general solution of the differential equation xy^2 dy – dx = 0 is -

A: Firstly separate the variables and after that integrate on both sides.

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

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

Q: (D3-2D2 – 3D)y = 0

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Q: Find the differential equation whose general solution is y = A + B e^(- 4x)

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Q: A particular solution of the differential equation y''+3y'+2y=4x+3 is:

A: Solving the differential equation

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 + 2y = a is, Oy = +c Oy= Oy = Oy= T

A: The objective is to find the solution of the differential equation.

Q: The solution to the differential equation dx = -2y, with the initial condition y(0) = 2, is

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Q: Two linearly independent solutions of the differential equation y" + 2y' + 8y = 0 are Select one:

A: Given: y''+2y'+8y=0

Q: The general solution of the differential equation (D² +1) y= 0

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Q: Find general solutions of the differential equation          xy+y^2-x^2y'=0

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Q: Find general solutions of the differential equation      3y^2y'+y^3=e^(-x)

A: Consider the provided differential equation,

Q: Show that y = Vx],(Ax), 1> 0 is the solution of the differential equation %3D x*y" + (x²x² – v² +±)…

A: The given differential equation is,  x2y''x+λ2x2-v2+14yx=0 This differential equation can be written…

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

A: Consider the given: x2y'=xy+3y2 Homogenous equation therefore, substitute y=vx and y'=v+xdvdx.…

Q: (D³ – 3D² – 3D + 1)y = 0

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

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: Given,  f'(x)=6x, f(0)=7

Q: y'= 2.xy /(x² – y² )

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Q: 6y²dx - x(2x³ + y)dy = 0 %3D

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Q: Solve the differential equation

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Q: (D³ – 3D² -3D • 2) y =

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Q: Solve the differential equation dy dx 3y3 1 %3D By the method of separating the variables

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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      2x^2y+x^3y'=1

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Q: The particular solution of the differential equation: y" + 3y' + 2y = sin(e*) %3D is:

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

A: A differential equation is an equation that relates one or more functions and their derivatives as…

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

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Q: Find the solution of the differential equation4xy y' = y² + x², satisfying the initial condition…

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