Obtain the general solution of the following equations:    2y(x2-y+x)dx-(x2-2y)dy=0

Q: Q3/ Solve the following equations: 1- х(2у — 3)dx + (x2 + 1)dy %3D0 dy 2- dx 4y x (у-3) 3. y' = 2xy…

A: Note that there are so many ways to write the final answer of the differential equation.

Q: Find the general solution for the equation: dy=(x^2+x)y^3dx

A: Given:          dy=x2+xy3dx

Q: Ans: (x + y)e+y = C y'+--2

A: Given differential equation is homogeneous differential equation which can be solved by converting…

Q: Write the linear equation in proper form and solve the initial value problem. dy – 2y – 1, y(1) = 3…

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Q: find the general solution of the given equation. 4 d2y/dx2 - 12 dy/dx + 9y = 0

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Q: 2. Use separation of variables to solve the following equations: (a) (y² + 1)dy + (e² + x)dx = 0.

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Q: Obtain the particular solutions of the following: (y-Vr² + y² \dx– xdy =0, y(0)=1 a.

A: Solution is given below:

Q: Q5. Transfer the Cauchy-Euler equation to a constant coefficient equation and find the general…

A: Given x2d2ydx2+3xdydx-2y=x2sinlnx

Q: dy - y = e2*y³ dx

A: Let's Solve,

Q: Use any appropriate method to find the general solution of each of the following equations. dy - y²…

A: Given differential equation is, x2dydx-y2=yx+x2

Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

Q: Find the solution to the Bernoulli equation: dy/dx + 2y/x = -x²y³

A: Introduction: One of the earliest differential equations to be solved was the Bernoulli equation,…

Q: Solve the non-homo. D.E. 1.y" + у%3D Зе2x

A: Differential

Q: Find the general solution to y" – xy' = 0. -

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Q: 3. Find the general solutions of, (xy + x* )dy + y°dx = 0 b.

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Q: Obtain the general solution of the following equations:   (x-4y-9)dx-(4x+y-2)dy=0

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Q: Consider the problem y' =1-2.xy, y(0) = 0 . %3D Find the solution of this D.E.

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

Q: Obtain the general solution. (xy + x) dx = 2 2 y + x + y¯ +

A: The given differential equation is…

Q: Find the general solution of (x^2+x)dy=3dx

A: Given difeerential equation, (x2+x)dy=3dx

Q: (2x2y+3y3)dx - (x3+2xy2)dy = C Solve for Particular Solution when x = 1, y = 1

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Q: Find the general solution of the lines Зу + 2 y - 2 )dx + ( 2x -+ 1 )dy = 0 4 2

A: Let us consider the given differential equation f(x,y)dx+g(x,y)dy=0 Using substitution,  x=X+hy=Y+k…

Q: Obtain the general solution to the equation. dx + 4x = 2y7 dy The general solution is x(y)=,…

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Q: Find the general solution of the given Attached equation

A: Differential eq:9d2ydx2+6dydx+y=0The auxiliary eq is 9m2+6m+1=0

Q: (8x² y² -2x + 4xy² - x) dx + (2xy + x + 2y + 1) dy = 0

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Q: d³ y dx³ 2d²y dx² 1 3dy=0 dx

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Q: Obtain the general solution of the following equations:   1.) y(y3-x)dx+x(y3+x)dy=0

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Q: Solve for the particular solution: dy + 를y3D -2°y"; y(-1) %3D2 dz

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Q: 9. Find the general solution of y(2x + y²)dx + x(y² – x)dy = 0

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Q: Question included in image

A: Given that,

Q: Find the general solution of (2x – y) dy = 2y – x - da

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Q: y dx + (3x – xy + 2)dy = 0 solve by Linear method

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Q: 3. Obtain the general solution of: (x – y)(4x + y) dx + x(5x – y) dy = 0

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Q: (x - 2y)dx + (2x +y + 5)dy = 0 identify if the case of the DE etermine its general solution. a. b.

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Q: Find the family of solutions of the equation (x2y5 + y3)dx + (x3y4 + x)dy = 0

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Q: Show that the equation is homogeneous and find its solution. (x2 + 3xy + y2) dx - x2 dy = 0

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Q: Q1. Find a general solution of the following equation: 2x(dx + dy) + y(dy – 5dx) = 0

A: Here we have,  2x(dx+dy)+y(dy-5dx)=0

Q: Solve the homogeneous equations (x2 + y2) dx + xy dy = 0

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Q: Obtain the general solution to the equation. dy _y + 3x +1 The general solution is y(x) = ignoring…

A: Solve the following

Q: Give the general solution of: dw/dx + (4w)/x = x3

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Q: Obtain the general solution to the equation. dy y + 7x +1

A: Here we have to find general solution of differential equation

Q: Fınd the general solution of x²5 d²y + 2x- 2y = 0 dx² dy dx where y(x) = x is a solution.

A: c1 and c2 are arbitrary constant.

Q: (b) Find the general solution of (y* + 2y)dx + (xy³ + 2y* – 4x)dy = 0 %3D

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Q: Find the general solution of the di f ferential equation *+ x .2 d²y + (x² – )y = 0.

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Q: What is the general solution of differantial equation?  Whicf of the options x² - y² + xy dy/dx =0

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Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

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Q: 3. Find the general solution of dy = y(xy – 1). d:r

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0. Answer:

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Q: Fınd the general solution of d²y dy + 2x - 2y = 0 dx dx² where y(x) = x is a solution.

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Q: Obtain a particular solution for + + +y = x³ + 2x + 1 dºy, d²y dx4 dx²

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