у' %3D2(2х — у),х %3D0, у %3D 1 || ||

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: What function satisfies the differential equation y - y' = 0?

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Q: y + 3xy' – 2(y')³ = 0

A: Product rule of differentiation: (fg)'=fg'+gf' Chain rule of differentiation:…

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

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

A: y = Ae7x + Be-7x

Q: Determine the solution to the differential equation given by: y'=6y2/x

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

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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: Find the differential equation whose general solution is y = C1x + C2ex. %3D

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Q: (y – c,)² + (x – c2)² = 1 %3D -

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Q: Find a differential equation whose general solution is y = cie®t + cze¬,

A: The complimentary function of the differential equation if the root of the auxiliary equation are…

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

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Q: Solve the differential equation 2xyy' = 1 + y". If y = 3 when x = 2, determine y when x = 1.

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Q: 4. eª y – ye" 2xy?

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

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Q: Find the particular solution to the differential equation when y(0)=3 and (2)=1

A: Given differential equation isy''=y'2x-y'x2-1 The conditions are y(0)=3,  y'(2)=1

Q: 2wt dt/dw = t2 - 2w3

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variables x for w…

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

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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 differential equation by variation of parameters. 1 y" + 3y' + 2y = 6+e* Show all your…

A: Use the procedure of method of variation of parameters to solve this problem.

Q: Obtain the differential equation of the family of straight lines passing through (0,-1).

A: To Obtain the differential equation of the family of straight lines passing through (0,-1).

Q: Find the solution to the differential equation   that passes through the origin.   z=

A: As the solution function to the given differential equation, passes through the origin we will have:…

Q: How can you tell that a differential equation is separable? Thatit is linear?

A: We can say differential equation separable  if it  can be written so that all terms in x and all…

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: 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: How would you solve the differential equation y'=2t-y using separation of variables to find y(1)?

A: Consider the given differential equation, y'=2t-ydydt+y=2t The above equation cannot be solved by…

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

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Q: Solve the differential equation by variation of parameters. 1 6 + ex y" + 3y' + 2y =

A: y''+3y'+2y=16+ex we have to solver above differential equation using variation of parameters.

Q: xy'= y + 2x'

A: xy' = y + 2x3xy'-y = 2x3Dividing by x;y' -1xy = 2x2 ...(1)Comparing with Bernouli's equation;y'+P(x)…

Q: Find the solution of the Linear Homogenous Differential Equation with Constant Cofficients. (D² –…

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

A: Result used:

Q: 4. x" +x=e+!.

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Q: To solve the differential equation 3+ ty = sint, y(0) =5 by the 4th order dt Runge-Kutta method, you…

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

A: topic - differential equations

Q: Write down the solution of the differential equation: x² y" -4 y' + 4y = In x

A: Consider the expression lnx as t. Differentiate the equation t=lnx and simplify to obtain the…

Q: Use a substitution to solve the nonlinear differential equation: (y + 1)y" = (y ')²

A: Let y' = t Then , y''=dtdy  to find the value of y, integrate y' =t⇒∫dy =∫t. dt⇒      y =t22  So the…

Q: What are two linearly independentsolutions of the differential equation y''-5y'-6y=0

A: We have to find linearly independent solutions of the given differential equation.

Q: b. y = C, + Cze3*

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Q: To solve the differential equation 3 + ty = sint, y(0) =5 by the 4th order dt %3D Runge-Kutta…

A: standard form for Runge-Kutta method for solving first order differential equation is: dydx = f(t,…