Solve y'' − 4y' + 4y = 3e2t

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

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

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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: Solve for differential Equation y^2dx+x^2dy=0

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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. 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 equations by using integrating factor y'= (y/x) + 2x+1.       when ; y(1)= 3

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

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

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Q: Find the approximate height of the curve y = x3 – 2x2 + 7 at the point where x = 2.98. (SOLVE BY…

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Q: Solve the differential cquation d'y by using the method of variation of parameters.

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Q: y' – 4y = –1et and y(0) = -2.

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Q: Solve the differential equaton 2x2dy=(x+y)2dx

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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: 13.ydx + (3x —ху+ 2)dy — 0

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Q: y(4) + 8y″ + 16y = 0

A: Given, y4+8y''+16y=0

Q: Find a differential equation whose general solution is y = cjet + cze-". = 0

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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: 3x + y + z = 0; z(0) = −1

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

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Q: 2. y" + 25y = 5 tan² (5x) cos(5x)

A: The given problem is to solve the given differential equation, we have to solve it by using…

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: Solve the differential equation by variation of parameteres: 4y'' - y = ex/2  +7

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Q: solve for the differential eq   (8x−10xy+4y^2sin^2 (x) )dx=(2ysin2x+5x^2−4xy)dy

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Q: 25.y' — х — 4ху ; х—D0, у3D 1/2

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Q: 6. Show that 2y2 dy x² + y2 dx is homogenous equations. Hence, solve the equation.

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Q: y² = 14eax-

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

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: 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: Solve the differential equation by variation of parameters. y" + y = sec(8) tan(0) y(8) =

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Q: Find the differential equations having as solution of y = x sin(xtc) .

A: We find the differential equations having as solution of y = x sin(xtc) .

Q: solve for Differential Equation y(x2+2)dx - (x2-x)dy = 0 when x= sqrt 3 and  y= 1/3

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

A: topic - differential equations

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

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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: b. y = C, + Cze3*

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Q: Solve for Higher Differential Equation using Undetermined Coefficients Method y" – 3y' + 5y = 4x³ –…

A: The  given differential equation is y''-3y'+5y=4x3-2x To find the solution of the differential…