a.) y = 2cx² + c² b.) y = c1x + c2x² + sin x %3D

Q: Find the differential equation corresponding to each of the following equations by eliminating the…

A: This question is related to differential equations, we will solve it using given information.

Q: Express the following differential equations in the form of a particular solution in terms of the…

A: We have to find particular solution of differential equation.

Q: Solve the first order differential equation 6y = 9x sin(x²) – 6xy + 7x %3D

A: This is a first order differential equation, so we can find the solution by calculating the…

Q: Solve the following first order differential equations Use any method: 4, 2x dx - 3xy dy 0, y(1) 0

A: First order differential equation, 2x2dx-3xy2dy=0 , y(1)=0 Given, y(1)=0…

Q: Identify the auxiliary equation of the following differential equation along with its roots and the…

A: Given differential equation is second order linear homogeneous differential equation: y''+6y'+8y=0…

Q: find the ordinary differential equation of the following solutions by eliminating the arbitrary…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. dy – (x - y + 1)²dx = 0

A: As we know that; ∫dxa2-x2=12alnx+ax-a+C   The given differential equation is: dy-x-y+12dx=0 So, we…

Q: Find the differential equation corresponding to each of the following equations by eliminating the…

A: These questions are related to differential equations, we will solve them using given information.

Q: find the ordinary differential equation of the following solutions by eliminating the arbitrary…

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Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. 1 (D² + 3D + 2)y= sin ex

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Q: 1. y' + 52 = x² + 1 %3D

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Q: x²y" – 3xy' – 2y = 0 а.

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Q: Consider the following Differential Equation (2) y" – 2 y" – 3 y' = cos(3x) + e ". | Determine the…

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Q: Solve for the differential equation of the given solution 1. y = C1e7*cos9x – C2e7*sin9x %3D

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: у %3D Сјех + С2xe* + Сзех + 2x?ex

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Q: Solve the first order differential equation 7y = 10x sin(x2) – 7xy + 8x

A: The question is taken from the first-order differential equation in which we have to find the…

Q: Solve the following differential equation using appropriate method. 2. (2x + 4y + 6) dx + (4x -2y-5)…

A: The given differential equation is; (2x+4y+6)dx+(4x-2y-5)dy=0

Q: Solve the following autonomous differential equation with the given initial condition. dx 10 - 8x,…

A: I use linear differential equation form to solve this differential equation

Q: Solve the following differential equation using Method of Undetermined Coefficients y"-2y"+2y'=4x,…

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Q: (-14х3у - Зе-У — 1) dx + 2x(3е-У — 2х3) dy %3D 0

A: -14x3y-3e-y-1dx+2x3e-y-2x3dy=0                                (1) Comparing to standard equation…

Q: Check the exactness of the following differential equation and find its solution: {2xy cos x² - 2xy…

A: Exact differential equation

Q: хау %3D| xsec + y dx.

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Q: Form the differential equations from the following 1. y= ax + bx², 3. xy Ae +Be +x. %3D

A: A differential  equation is a equation which ha a function along with one or more derivative  To…

Q: Find the complete solution to the following differential equation using MUC: * (D* +2D² +1) y = 3+…

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Q: find the ordinary differential equation of the following solutions by eliminating the arbitrary…

A: Since there are two arbitrary constants so differentiate  twice to get the second degree…

Q: x²y'=1-2xy: y()= %3D %3D

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Q: 3.) (–14x³y – 3e-y – 1) dx + 2x(3e-y – 2x³) dy = 0

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Q: (3x²+ 2y²)dx + 2xydy=0

A: According to guidelines here solution of only firt question

Q: 3)(xe +y)dx - xdy = 0 In x|+e ans:

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Q: the

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Q: find the ordinary differential equation of the following solutions by eliminating the arbitrary…

A: We have that 7Cy2 = x2 + 3y. -------(1) Differentiating once we get dydx=2x14Cy-3. From equation…

Q: Obtain the differential equation of the following primitives and express the final answers in the…

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Q: Find the differential equation corresponding to each of the following equations by eliminating the…

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Q: Solve the following higher-order differential equations by treating the second-order equation as…

A: Differential equation

Q: Solve the given 2. (4) - 2y + y = et +1 differential equation by undermiNed coeFFicients.

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Q: Solve the following given differential equation  using the method of indeterminate coefficients

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Q: Solve the given differential equation by finding, in-imanapi 12xy dx + (4y + 18x²) dy = 0 Sectioner,…

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Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: Which of the following differential equation has a solution of In(y) = G e* + C2e*

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Q: y²x = 1 + Cy

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Q: Solve the following homogeneous differential equation via substitution (3x2+9xy+5y2)dx -…

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Q: Express the following differential equations in the form of a particular solution in terms of the…

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Q: 1. у %3D Cје-* + с2 cos 3x + с3 Sin 3x у" +у" + 9y' + 9у %3D 0

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: 1) (x+y)dx+xy dy-0 ans:

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Q: Solve the following differential equation using undetermined coefficients. -2x. y" + 8y = 2x – 5 +…

A: Consider y=emx be the solution of the homogeneous part. The auxiliary equation becomes m3+8=0. Solve…