(3x2 — 2у?)у' - 2ху %3D 0

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

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

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Q: У"(х) — 2у(х) + у (x) — 4x2 — 3 + et

A: Given :         y''(x) - 2y'(x) + y(x) = 4x2 - 3 + exx   To find:            The general solution of…

Q: Find the Differential equation by eliminating the arbitrary constant  x2-y2=a2

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Q: 5x y = C, + C2e4x 4

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Q: The differential equation y'= x – 2xy can be solved by two methods. These are:

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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: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

Q: Solve the differential equation by variation of parameters. 4x e2x y(x) = = y" - 4y =

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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: Form the differential equation by elimanating the arbitary constant A,B fror V=Ae7x+Be-7x

A: y = Ae7x + Be-7x

Q: Find the differential equation associated with y = clx^2+ c2x + c3

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Q: The system changed so that the right-hand side of the differential equation is 0. Use the…

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Q: 5. Find the solution of the differential equation using Variation of Parameters. у" - Зу" + 3у - E

A: Explanation of the solution is given below....

Q: Determine the form of a particular solution for each differential equation 2 2. ""4" +4y' = 5x² - 2x…

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Q: Find the general solution of the differential equation

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Q: Find the general solution of the differential equation. y (4) - y = 8t + cost.

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

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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: y"″ − 3y" − 4y' + 12y = 0 -

A: To find the general solution of the differential equation y'''-3y''-4y'+12y=0

Q: (y – c,)² + (x – c2)² = 1 %3D -

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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: Find the general solution of the differential equation.

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Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: yu) + 2y"+ y - x²sinx

A: The given differential equation is: y(4)+2y''+y=x2sin x

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

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Q: Find the solution of the differential equation using Variation of Parameters.

A: Given differential equation is y'''-3y''+3y'=exx The solution of the differential equation using…

Q: Find the solution of the Linear Homogenous Differential Equation with Constant Cofficients. (2D4 +…

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Q: Solve the High order differential equation by using Variation of Parameters Method y(4) – 2y" = 4x

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Q: solve the for the general solution of the differential equation( linear homologous equation): y'' −…

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Q: Find the general solution of the differential equation 2xyy' = 2y² – x²

A: given 2xy y' = 2y' -x'y' = 2y2-x22xy---(1)put y =vxy' = v + xv'---(2)so from (!) we have y' =…

Q: 4.y = C₁e-2x + C₂e³x

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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: Find the general solution of the differential equation with clear steps.

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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 by variation of parameters. 1 4 + ex y" + 3y' + 2y =

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

Q: Vyy" – 1 = y'

A: Given DE is  √(yy''-1) = y'' ......(1)

Q: y² = 14eax-

A: Given y2=14eax The objective is to form the differential equation by eliminating the constant.…

Q: Match the differential equation with its solution. y' - 4x'y = x3 %3D

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Q: Find solution of differential equation. у"+ftanx)y-e^x, У(О)-1, у (1)-0

A: The differential needs to convert in the standard form.

Q: Find the equation of the line tangent to y = x2 – 3x – 5 and parallel to the line y = 3x – 2.…

A: Explanation of the answer is as follows

Q: Make up a differential equation that does not possess any real solutions.

A: A differential equation consists of a dependent variable, independent variable and derivatives of…

Q: 21

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

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Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

Q: Use separation of variables to find the general solution of the differential equation. ely' = 3x5 +…

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Q: Find the Differential equation by eliminating the arbitrary constant x2 - y2 = a2

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Q: When is an equation considered as a solution of  differential equation?

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Q: b. y = C, + Cze3*

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