(ху — 2х + 4у — 8)dy%3D (ху + 3х —у— 3)dx

Q: Solve the given differential equation by separation of variables. dy xy + 3x - y - 3 dx xy - 2x + 4y…

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Q: 1. y = c1e-2x + cze²x + cze2x 2. y = c1e* + cze3x

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Q: Find the general solution of the given higher-order differential equation. y"" + 4y" - 9y' - 36y = 0

A: Follow the procedure given below.

Q: Solve the given differential equation with initial condition.  y' - .6y = 0, y(0) = 5

A: We have been given the differential equation  y' - .6y = 0 with initial condition y(0) = 5

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

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Q: yー 5y+6y= xex

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Q: y(4) + 2y" + y = (x – 1)?

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Q: 4. (y+1)y" =(y')²

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Q: Find a particular solution to the differential equation y" + 3y' + 2y = -8t³. Yp

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Q: y'"' – 3y" + 3y' – y =

A: We have to find general solution of given differential equation.

Q: Find the particular solution to the differential equation: 2(y')² ( y" = 1- when +3) x = 0, y = 1…

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Q: Find the particular solution for the differential equation y' 4xe2x and y(0) =20.

A: Given that a differential equation and we find its particular solution . and also given that a…

Q: find the general solution of the differential equation y'+yx^5=(x^5)(y^7)

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Q: Identify the case of the given differential equation and determine its solution (3x + 2y + 7)dx + (…

A: Differential equation is exact. First show that given differential equation is exact and then find…

Q: Solve the given differential equation by separation of variables. dy - xy + 3x - y - 3 dx xy - 4x +…

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Q: Solve the given differential equation by undetermined coefficients. y" + 2y' = 2x + 9 - e-2x y(x) =

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Q: Find the general solution to the differential equation: y' = 6x + e5z

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Q: Find the general solution of the differential equation: xy' + y = 3 + 7x. - Use lower case c for…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the solution of the given differential equation. x²y-y ; y (3) = -1 %3D y+1

A: Given,dydx=x2y-yy+1,dydx=y(x2-1)y+1y+1ydy=(x2-1)dxTaking integration on both…

Q: 4. у 3 2ах + bx2

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Q: Find a general solution to the given differential equation. 4z" + 3z' - 2z = 0

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Q: Find the general solution of the differential equation y′ = 5x/y

A: Given the differential equation: y'=5xyRewrite asdydx=5xy

Q: y" – 3y' + 2y = 3e + 2e2* -

A: Given,y''-3y'+2y=3ex+2e2xNow,Auxillary equation ism2-3m+2=0m2-m-2m+2=0mm-1-2m-1=0m-1m-2=0m=1,2Since…

Q: Solve the given differential equation with initial condition.  y' = y, y(0) = 4

A: Given : y' = yy0 = 4

Q: . Find the general solution of the given differential equations. y" +y = 0

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Q: Find a particular solution of the given differential equation by using the method of variation of…

A: Given, y''-5y'+6y=2ex   ....(i) Auxiliary equation of the given homogeneous equation is…

Q: Find the general solution of the differential equation. y' = 21x y

A: The differential equation is given by y' = 21xy To evaluate : The general solution of the…

Q: This is a differential equations problem.

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Q: Find the general solution of the differential equation: et y" – 2y' +y = 1+ t2

A: Given differential equation y''−2y'+y=et1+t2 We have to find the general solution of the given…

Q: Find the particular solution of the differential equation using the method of undetermined…

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Q: Solve the given differential equation by separation of variables. xy + 7x - y - 7 xy - 2x + 8y - 16…

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Q: Solve the given differential equation by undetermined coefficients. y" + 2y'=2x+9-e-2x

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Q: Solve the given differential equation by undetermined coefficients. y"' – 3y" + 3y' - y = x - 3e*…

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Q: Solve the differential equation 9x²y" + 2y = 0, y(1) = 7, y'(1) = 3. Then evaluate the particular…

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Q: is a solution of the differential equation y" + (3x + 1)y' + 3y = 0 , then its coefficients Cn are…

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Q: find the general solution of the given differential equation. 2.y″ − y′ − 2y = −2t + 4t2

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Q: Solve the first order differential equation. (x3 + y4) dx + 8y3xdy = 0, when x = 4, y = 1/2

A: Explanation of the answer is as follows

Q: Specifically a differential equations problem. Question in pic below.

A: We are given the differential equation,                                   First, we will solve the…

Q: Solve for the particular solution yp of the given differential equation: y" + 3y' + 4y = 4x2 — 2х -

A: Given differential equation, y''+3y'+4y=4x2-2x⇒(D2+3D+4)y=4x2-2x          D≡ddx.............(i)

Q: Find the general solution of the given differential equation:  y''' + 3y'' - 4 = 0

A: Topic:- differential equation

Q: Find the general solution of the differential equation. 11x y' = y

A: We have to find the general solution of the given differential equation.  For this we will…

Q: Find a particular solution to the differential equation y" + 6y' + 9y = -243. Yp =

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Q: Solve the given differential equation by undetermined coefficients. y" 2y' = 2x + 3 – 2-2x y(x) = |…

A: The given differential equation is y"+2y'=2x+3-e-2x. Compute the characteristic equation as follows.…

Q: Solve the given third-order differential equation by variation of parameters. y"' – 3y" + 2y' =…

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Q: (1+ x)y" + (4x + 5)y' + (4x + 6)y = e-2x

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Q: 2.Solve the linear differential equation for general solution y′′ − 20y′ + 100y = 0,

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Q: Identify what method is appropriate and solve the solution of the differential equations given. 1…

A: As per guidelines we have to solve one question

Q: Find the general solution of the differential equation: y' – 5y = xy. - Use lower case c for the…

A: The given differential equation is y'-5y=xy2 This can  be written as dydx-5y=xy2 Divide both the…