Solve the Differential Equation using VARIATION OF PARAMETERS: y''+y'-3y=4sin2x

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

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

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Q: Solve the differential equation using undetermined coefficients method y''+4y=2x sin(x)

A: Given that y''+4y=sin2x Let y=emx Now  m2+4=0m=±2i Therefore the general solution,…

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

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Q: y=X+ Ci ex t %3D

A: Explanation of the answer is as follows

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 y' = x + y by making the change of variable u = x + y.

A: Given y'=x+yand u=x+y

Q: By using substitution of x-e' and t = ln(x), find the general solution of the differential equation.

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Q: Form the differential equation by eliminating the constant 'a' from r=2a (sin 0- cos 0)

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Q: Solve the differential equation by variation of parameters. 4y" - y = ex/2 + 8 y(x) =

A: First I have find the complementary function and then by using method of variation of parameters…

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

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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: Solve the differential equation by variation of parameteres: y'' + y = sec(x) + tan(x)

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Q: Find a first order differential equation for which y2 sin(xy) + (2xe)cos(x)) = 3 is an implicit…

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Q: Find the differential equation by eliminating arbitrary constant  y=Ae-3x+Be2x

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Q: solve the differential equations by using integrating factor y'= (y/x) + 2x+1.       when ; y(1)= 3

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Q: Solve the differential equation defined by x dy/dx −2y = x^6 sinx.

A: Consider the provided differential equation,

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

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Q: Find the complete solution of the differential equation, y' = 2 - cot.

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Q: Solve the given differential equation by finding an appropriate integrating factor to make it exact…

A: Given equation is the linear equation  of the form  dxdy+xP(y) = Q(y)  and integrating factor is…

Q: Solve the differential equation by variation of parameters. у" + у %3 csc х y(x)

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Q: Solve the differential equation by separating the variables.   dydx=sin(x+y)−cos(x+y)

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Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: Determine the solution to the differential equation given by: y''-2y'+y=sin x

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Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

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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 parameteres: y'' + y = csc(x)

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Q: Solve the differential equation by variation of parameters. y" + y = sin2(x) y(x) =

A: The given differential equation is: y''+y=sin2x

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

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Q: Solve the differential equation using Variation of Parameters (D² – 2D + 1)y

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

A: Given differential equation is y''+3y'+2y=cos ex The auxiliary equation is…

Q: y' = xe', У (0) — о

A: We have to isolate the variable then integrate the function to solve the equation

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: Solve the 2nd order linear differential equation y" – y' = 5e* – sin2x %3D

A: The auxiallary equation for the given differential equation is given by

Q: y = 2 -[(1+y(t))sin tdt.

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Q: Form the differential equation by eliminating arbitrary constants:y=ax3+bx2

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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: Solve the differential equation by variation of parameters. 4y"-y = ex/2 + 6 y(x) =

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Q: Solve the differential equation by variation of parameters. y" + 2y + y = e-tIn(t) y(t)

A: Given the differential equation is y''+2y'+y = e-t lnt

Q: dy :-y = xy2 dx

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Q: Find the differential equation whose complete solution is y=c1e-x+c2ex+4x using elimination of…

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Q: y = ry' – In (y')

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Q: Solve the given differential equation by separation of variables. ds dr = KS

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

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Q: solve the differential equation using the substitution method. (3siny-5x)dx+2x2cotydy=0

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Q: Form the differential equation by eliminating constants a and b from y = a(b – x)(b+x) + 56.

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Q: y'tanxsin2y = sin²x + cos²y

A: Assume t=cos2y then differentiate both side with respect to x to find dtdx .…

Q: Solve the Differential Equation using METHODS OF UNDETERMINED COEFFICIENT: y''+y'-3y=4sin2x

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