y'+3xeY = o 0.

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

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Q: y" – 2y' + y: [12x – 4]e-Sx %D -

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Q: Form the differential equation by elimanating the arbitary constant A,Bvfrom y=Ae7x+Be-7x

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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 differential equation where y = 8 when = 0. y + 3y x + 3 = (x+3)8

A:

Q: y = ce2t + Cze -3t y = ce-t/2 + cze¯ -2t

A:

Q: Solve for differential equation (3x2-2y2)y1=2xy

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Q: 35. (2v3 3)dx + 3xv²dv = 0 – x

A: Given that: (2y3-x3)dx+3xy2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: Write the the differential equation by separating the variables. - = x-y dx

A: Solve the following: dydx=x-y .................. (1) Let us put, x-y=t Differentiating both sides…

Q: y" = 12x² %3D

A:

Q: Solve the differential equation by variation of parameters. y′′ + 3y′ + 2y = (1/9+ex)

A: Step:-1 To find solution of differential equation y''+Py'+Qy=R using variation of parameters, first…

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

A: See answer below.

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

A:

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

A: To Determine: solve the differential equation by variation of parameters. Given: we have a non…

Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

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

A:

Q: What is the general solution of the differential equation 2xyy' y? - 2x³ ?

A: We have to find the general solution of the given differential equation 2xyy'=y2-2x3 .

Q: equation

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Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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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 differential equations using variation of parameters 1. (D²+1)y= sec³x

A: Given differential equation:D2+1y=sec3x Concept used: Variation of parameters.

Q: y" + 3y = -48x²e3x

A:

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

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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 by variation of parameters. y" + 3y + 2y = 8 1

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Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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Q: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

Q: 25.y' — х — 4ху ; х—D0, у3D 1/2

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Q: = (+ Use the fact that i and -i = to solve the differential equation dx4 + y = 0.

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Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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Q: Solve the given differential equation by undetermined coefficients. y" + 5y = -180x²e5x y(x) = %3!

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Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

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Q: Solve the differential equation by variation of parameters. 1 4 + ex y" + 3y' + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(4+ex).

Q: Solve the differential equation by undetermined coefficients (annihilator approach). y(4) + y" = 3x2

A: Please see the below picture for detailed solution.

Q: solve the given differential equation by undetermined coefficients. y"+3y=-48x2e3x

A: Answer and explanation is given below

Q: Solve the differential equation by variation of parameters. 9x y" - 9y = %3D 3x e y(x) =

A: The given differential equation is y"-9y=9xe3x.

Q: 15.) y = ae* + blnx + cx + d

A: We have to find the differential equation of the equation y=aex+blnx+cx+d, which is a general…

Q: ry? V1+ x²

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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 differential equation by variation of parameters. y" + 3y + 2y = = 1 2 + ex

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Q: Solve y" –3y' = 2e* +5sin 2x

A: We will find out the required solution for the given differential equation.

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

A:

Q: Solve the differential equation by variable separable method dy (1+ y) (3x² + 6) = 2- dr 13 + 6z

A: To find- Solve the differential equation by variable separable method dydx = 21 + y23x2 + 6x3 + 6x

Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

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Q: y" +y' – 6y = -3sen x +4e2x

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Q: Solve the differential equation by variation of parameters 16x у" - 16у y(x) =

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Q: Solve the given differential equation by undetermined coefficients. y" + 6y = -294x²e6x ||

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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.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.