find the (general and especial) solution of y" - y' - 12v = 3x2 + 1 *

Q: determine the general solution to thegiven differential equation. Derive your trial solution…

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Q: By the alimination of the arbitary constants a and b ,obtain the differential equation of which…

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Q: The differential equation (4x2y2 + 6x y )dx + (5x3y + 8x2)dy = 0  has an integrating factor of the…

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Q: Determine the complete solution of the differential equation y" + 4y = 2cos2x subject to conditions…

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Q: Find general solutions of the differential equation     x(x+y)y'+y(3x+y)=0

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Q: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

A: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

Q: y" + 9y' + 7y = e-2t ,t > 0[

A: Using method of Laplace Transform.

Q: Q1: solve the nonlinear partial differential equation: z2 – xypq = 0

A: The given partial differential can be written as: fx,y,z,p,q=z2−pqxy=0

Q: Find the general solution of the given Ordinary Differential Eqauations system: - 9 x () where X(t)…

A: .Our general solution is of the form X(t) = C1V1eλ1t + C2V2eλ2t  where V1 and V2 are eigenvectors…

Q: y´ – 3y''+3y´ – y = 0 + 3y´

A: Given differentiable equation

Q: Solve the differential equation using variation of parameters wronskian method y''' + 9y'' + 26y' +…

A: Consider the given differential equation as y''' + 9y'' + 26y' + 24y = 24x + 2. The auxiliary…

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

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Q: xydx -(x+2y)* dy

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Q: Determine the complete solution of the differential equation y" + 4y = 2cos2x %3D subject to…

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Q: Find the particular solution of the differential equation with the initial condition given below.…

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Q: В. Find the general solution of the differential equation by using (Variation of Parameters Method )…

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

A: answer  Y = 9x22+ 3x detailed solution is given below

Q: 3. Find the general solution of differential eguation y" - v' - 6y = 0

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Q: (3x-y+6)dx + (6x -2y-6) dy=0 hint: Case 1

A: Given differential equation is                    (3x - y + 6)dx + (6x - 2y - 6)dy = 0

Q: Find the general solution of the differential equation by using (Variation of Parameters Method ) y"…

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Q: Use the method of variation of parameters to find a particular solution of the differential equation…

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Q: Find the particular solution to the differential equation y - y - 2y =- 2e when y(0) = – and y (0) =…

A: The characteristic equation of the given differential equation is m2-m-2=0. So,…

Q: y = - is one of the solutions to the non-homogeneous Cauchy-Euler equation 1 x²y" + xy' – y x + 1…

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Q: y(4x + y) dx - 2(x² - y) dy = 0

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Q: 21. Find particular solution of the differential oquation-2(x+ 1) Y.given x 0,

A: Givne that  The differential equation  To find the particular solution of the differential equation

Q: y' = (4x + y)²

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Q: 6. By making the change of variables u = and u = y , solve the partial differential equation rfz…

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Q: Find the general solution of non-homogeneous differential equation for y"+3y'+2y = 2020x which…

A: The differential equation is given as y''+3y'+2y=2020x Corresponding homogeneous differential…

Q: The general solution for the flowing differential equation is (3x²+ycosx) dx +(sinx-4y )dy =0

A: The equation is given by: 3x2+ycosxdx+sinx-4y3dy=0 The equation is of the form Px,ydx+Qx,ydy=0…

Q: determine the general solution to thegiven differential equation. Derive your trial solution…

A: Given: y''+4y'+4y=5xe-2x

Q: Solve the partial differential equation = 3, u(x,0) = 7edz by the method of separation of variables.

A: Solution

Q: Form the partial differential equation by eliminating the arbitary function from z=xy+f(x2+y2)

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Q: Find the particular solution of the differential equation using the method of undetermined…

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Q: Obtain the particular solution satisfying the indicated conditions of the homogeneous differential…

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Q: Find all solutions to the differential equation y '= −5y. Which solution satisfies the initial…

A: Given: 1. 2.  Initial Condition To Find:  All the solutions of the given Differential equation.…

Q: y' +y = 0

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Q: xy' + 2y' + 2y O with initial condition y(0) = 1

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Q: Find general solutions of the differential equation  x^3y'=x^2y-y^3

A: the given equation is x3y'=x2y-y3 divide the equation by x3 y'=1xy-1x3y3            ...... (1)…

Q: Use the method of variation of parameters to find & particular solution of y" – 2y + y = and write…

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Q: (2x+3y-5) dx + (3x-y-2) dy=0 hint: Case 2

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Q: By using the method variation of parameters, find the general solution of the differential equation…

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Q: Determine the solution of the differential equation у"+2y" - 5y - бу%3D0 that has values y= 3, y = 6…

A: The differential equation y'''+2y''-5y'-6y=0 where y0=3,y'0=6,y''0=12. Rewrite the equation using…

Q: Find the homogeneous linear differential equation whose solution is y=-e^(3x/2)-4x sin⁡2x.

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Q: Solve for the particular solution of the non-homogeneous differential equation. 1. y'''+y''=3

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Q: Solve the second order linear differential equation using method of undetermined coefficients…

A: To solve: The second order linear differential equation, 3y''+2y'-y=x2+1 using method of…

Q: determine the general solution to thegiven differential equation. Derive your trial solution…

A: Given: y'''+3y''+3y'=y=2e-x+3e2x To find: General solution of the given differential equation.

Q: Use the method of variation of parameters to find a particular solution of the differential…

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Q: 5. Find the solution of the differential equation using Variation of Parameters. y"' – 3y" + 3y' =

A: We will use the method of variation of parameters to solve this question. First, we find the three…