Which of the following most nearly gives the differential equation that is free of arbitrary constant for the equation y = C,e* + C2e¯* + C2xe-*? а) у" + у" —у'-у%3D0 d) у" — Зу" +2y' — 5у %3D 0 b) y" - у" + у' у%3D0 c) y" + 2y" - 2y' + 2y 0 e) у" + 2y" -5у' — Зу%3D0 f) None of the choices

Q: Solve  y" - 4y' + 3y = 0

A: We have to solve ,  y" - 4y' + 3y = 0  (D2 - 4D + 3)y = 0 The auxiliary equation is  m2 - 4m + 3 = 0

Q: (2х + 1)у? y' = y2 - 1

A: It's not clear what needs to be done in this question. To me, it appears that you want this…

Q: Given the differential equation 4y^(IV) - 45y" - 70y' - 24y = 0, what are the roots of its auxiliary…

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Q: Which of the following is the general solution of the differential equation ху" — у' — 1? а) c,х +…

A: The differential equation is given as xy''-y'=1 Multiply both sides of the given differential…

Q: y"" - y' = 2e-* - 3e2x when x = 0, y = 1, y'= -1 and y" = 2

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Q: Which of the following is the differential equation of the family of cubics defined by cy^2 = (x -…

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Q: Eliminate the arbitrary constants of the equation y = Cje 2x + A y" - 2y' - 3y = 0 B y" - 4y' - 2y =…

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Q: Find the most general real-valued solution to the linear system of differential equations [1 -2] a.…

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Q: - Transform y' =- to a possible standard form of first ordered linear differential equation. *+G-1)…

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Q: x(1-х)у" - Зу' + 2у %3D0

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Q: Solve (D - D’-1)(D - D’-2)z = e3x-y

A: Given: D-D'-1D-D'-2z=e3x-y

Q: - xy +y= 0 %3D

A: The differential equation is given as y''-xy'+y=0. Let y=∑n=0∞anxn be the solution of the…

Q: 21 - v oX

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Q: (3x^2 - 2ху + 2)dx + (6y^2 - х^2 + 3)dy 2у^3 + Зу + х^3+x3с O 2y^3 - x^2 y + 2x = c О уз - 2х^2 у +…

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Q: 5) Solve y) - 3y4+3y" - 3y" +2y' = 0.

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Q: The general solution for the equation y'=x*e(x^2+y) can be given in the form of: ?ex^2+2e-y=k a) x…

A: Solve by separable variable method

Q: determine the general solution of the nonhomogeneous linear equation (D^3+D^2-4D-4) y=3e^-x-4x-6

A: We need to solve the nonhomogeneous differential equation (D3+D2-4D-4)y=3e-x-4x-6

Q: Identify the differential equation solved by y = e** a) Oy" – 9y + 20y = 0 b) Oy" + 9y' – 20y = 0 с)…

A: The solution is given as

Q: х2у" + x(x-1)у' + (1-x)у %3D 0

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Q: y₁' = -3y₁ - 4y2 +5et y2' = 5y1 + 6y2-6e¹ dan diketahui yı(0) = 19, dan y2(0) = -23,

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Q: A solution to the partial differential equation a?u = 9 əx² ay2 a) cos(3x — у) b) x2 + y2 c)…

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Q: Obtain the differential equation of the family of circle with center on the x-axis

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Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 is Select one: m – 4m2 – 12…

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Q: differential equation y = C, sin(5x + C2) as its general solution. a) Oy" – 25y = 0 b) Oy" + 25y = 0…

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Q: y(4)+3y'''+2y''=12x2 High nonhomogeneous equations

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Q: Match the differential equation with its direction field. y' = 10 - y \ 20 0:34 // 0.2f Q,1 -Q.31…

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Q: Solve y"" - 2y' + y = 0

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Q: Find the solution of non linear partial differential du equation ди = U бу dx

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Q: %3D у — Зу + Зу - у %3D 4е" y y =

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Q: Find the differential equation that has y = C1 + C2x as its general solution. a) Oxy" – 3y = 0 b) O…

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Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: The given family of curves                    y=Acos12x+Bsin12x , where A and B are constants.