(-14х3у - Зе-У — 1) dx + 2x(3е-У — 2х3) dy %3D 0

Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y + 2y = =

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Q: Which of the options is the differential equation that accepts the solution of the following…

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Q: Solve the differential equation by variation of parameters. 1 7 + ex y(x) = = y" + 3y + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(7+ex).

Q: Solve the differential equation by variation of parameters. -t y" + 2y' + y = et In(t) y(t) =

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Q: Solve the given differential equation by separation of variables. dy yex -e-y = e-2x-y %3D dx

A: The differential equation is given as…

Q: Solve by applying "Differential Equation using Substitution Suggested by the Equation" (2x + y)dx–…

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Q: 0 = 2e³i – e2', do - + 30 = -2e²' dt - dr?

A: To determine whether the given function is a solution to the given differential equation.θ=2e3t-e2t,…

Q: Obtain the differential equations satisfied by the given puiiicular solution 4. y = e3x- 5e - 1 5. y…

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Q: Solve the differential equation by variation of parameters. 1 y" + 3y' + 2y 5 + ex y(x) =

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

A: We have to form in a integrable form.

Q: Find the differential equation that has y = C1 + C2x as its general solution.

A: To find the original differential equation we  have to eleminate the arbitrary constants by…

Q: 10. Solve the differential equation by variation of parameters y" + 9y = 9 sec²(3x)

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Q: Solve the differential equation by variation of parameters. 1 y" + 3y' + 2y 9 + e*

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Q: Solve the given differential equation by undetermined coefficients. у" - Зу" + Зу' - у %3D х - 8е*…

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Q: Solve the differential equation. (t + 1) +2s = 3 (t+1) + -, t> -1 (t+1)?

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Q: (y – c,)² + (x – c2)² = 1 %3D -

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Q: Form the differential equation by eliminating the arbitrary constant A, B from y=Ae?x+Be7*

A: We have to form differential equations

Q: 2. (x +1)y'+y = x² – 1 %3D -

A: Topic = Differential equation

Q: Solve the given differential equation by separation of variables. xdx = 2y y =

A: Use Separation of Variables to solve the given differential equation xdydx=2y

Q: Solve the given differential equation by undermined coefficients ya) – 5y" + 4y = 2 cosh x – 6.

A: By Bartleby policy I have to solve only first one as these are unrelated & lengthy…

Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y + 2y =

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Q: Solve the differential equation by variation of parameters. 4y" – y = ex/2 + 4 y(x) =

A: We have to solve the differential equation

Q: Solve the given differential equation by variation of parameters. y'' − y' = xex

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Q: Solve the differential equation by variation of parameters y''' + 5y'' -2y' -24y = 5 + 4*exp(2x)

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Q: Solve the given third-order differential equation by variation of parameters. y"+ 64y' = sec(8x) |3|…

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Q: Find a differential equation whose general solution is y = c₁et + c₂e-4t . = 0

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Q: Solve the differential equation 3y' = x + y by making the change of variable u = x + y.

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Q: Solve the given third-order differential equation by variation of parameters. у" - бу" — у'+ бу 3D…

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Q: У - 2у+ %3D 1+ x

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Q: 3. (2xy-x + 2y - 1) dx +(4x²y² - x² + 4xy² -x) dy = 0

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Q: Solve the given third-order differential equation by variation of parameters. y"' + 16y' sec(4x) =…

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Q: 25.y' — х — 4ху ; х—D0, у3D 1/2

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Q: This is a differential equations problem.

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Q: Solve the differential equation by variation of parameters. 1 2y = 2 + ex y" + 3y + 2y =

A: y'' +3y' +2y=12+exA second order linear, non-homogeneous ODE has the form of   ay''+by'+cy=gxThe…

Q: Solve the differential equation 9y' = x + y by making the change of variable u = x + y.

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Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y + 2y = t

A: We have to find the general solution of the given differential equation by Variation of Parameters.…

Q: ry? V1+ x²

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Q: Solve the given differential equation by variation of parameters. x²y" + xy' - y = In(x) y(x) = ,X >…

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Q: Solve the differential equation by variation of parameters. 4y'' − y = ex/2 + 7

A: Result used:

Q: Solve the differential equation by variation of parameters. 1 y" y² + 3y + 2y = 2 + ex

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Q: Solve the given differential equation by undetermined coefficients. у" — Зу" + Зу'- у %3 е* — - x +…

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Q: The roots of an auxiliary equation are m1=4, m2=m3=-5. What is the corresponding differential…

A: If the root of the auxiliary equation is m1=α and m2=β, then the corresponding differential equation…

Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

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Q: Solve the given differential equation by variation of parameters. y" - y' = xe*

A: Given y"-y'=xex

Q: Solve the given third-order differential equation by variation of parameters. y" + 64y' = sec(8x)…

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Q: Show that the differential equation x¹y³ + x(1+y¹)y' = 0 is not exact, but becomes exact when…

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Q: Solve the given differential equation by undetermined coefficients. y" + y" = 8x2 y(x) = %3!

A: The solution is given as

Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.