3. Get the general solution of the differential equation (x+2y-4)dx- (2x+y-5)dy%3D0.

Q: What is the general solution to the differential equation (6x-3y+2)dx+(y-2x+1)dy=0

A: Here we use the substitution method for finding the general solution let us substitute v=y-2x

Q: Find the general solution for the differential equation: y" – 2y + y = 7-

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Q: Find the general solution of the differential equation d²y dy - 6 + 13y dx = 4e2x cos 3x dx2

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Q: y" – 5y' + 6y = x² + x +1

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Q: 3. In the differential equation (2x+ y)dx- 3(2x+ y+4)dy=0, we let the substitution dy =,

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Find the general solution for differential equation.

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Q: 6. (y2 – 3y – x)dx + (2y - 3)dy = 0

A: The given differential equation is; (y2-3y-x)dx+(2y-3)dy=0.

Q: Give the general solution of the differential equations.   dy/dx + y/x - xy2 = 0

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Q: Find the general solution for differential equation.

A: Given differential equation is dydx+2xy=16x. Separate the variable.…

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

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Q: The solution of the differential equation dy dx 6. is 6x + C 6lnx + C | 4 6x + C 5 6lnx + C 2

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Q: Find the general solution of the given second-order differential equation. Зу" + 2y' + у %3D 0 y(x)…

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Q: Find the general solution of the given higher-order differential equation. y"" + 2y" - 16y' - 32y =…

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Q: The general solution of the differential equation x^2 dx - (y+1) dy = 0 is -

A: We have to find general solution of the given equation.

Q: Find general solutions of the differential equation      x^2y'=xy+y^2

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Q: The general solution of the differential equation xy^2 dy – dx = 0 is -

A: Firstly separate the variables and after that integrate on both sides.

Q: Find the general solution of the differential equation dy/dx = 6x − x3

A: the given differential equation is: dydx=6x-x3     (1)

Q: What is the general solution to the the differential equation3y"'-y' - 2y=0?

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Q: (D3-2D2 – 3D)y = 0

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Q: Find the complete (general) solution of the differential equation d3y/dx3−3d2y/dx2 +2dy/dx=10+4xe^2x

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Q: If xm is a solution of the differential equation x²y" – 2y = 0 then m %3D -

A: Given that a second order differential equation and also given a solution of this equation is xm and…

Q: 2. In the differential equation (x – 4y –9)dx+(4x+ y – 2)dy = 0 , the lines x- 4x + y- 2=0 intersect…

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Q: (3x²y² − 3x² )dx+x³ydy−(y² − 1) / dy = 0

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Q: Find the general solution of the given higher-order differential equation. y" + 4y"-9y' - 36y = 0…

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Q: (6x + y²)dx + y(2x – 3y)dy = 0 -

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Q: (6x + y²) dæ + y (2x – 3 ) dy = 0 is a variable separable differential equation. -

A: Variable separable differential equation is any differential equation that can be written in the…

Q: Find the general solution of differential equation dy/dx = (y^2x + x^3)/(x^3-x^2y)

A: We need to solve dydx=y2x+x3x3-x2y. So,              dydx=y2x+x3x3-x2ySubstitute  dydx with y'.⇒y'…

Q: What is the general solution to the differential equation (x-4y-3)dx-(x-6y-5)dy=0

A: Our Aim is to find the general solution to the differential equation given…

Q: (3x+y-5)dx+ (3x+2y-7)dy = 0

A: Given: 3x+y-5dx +3x+2y-7dy = 0 dydx= -3x+y-53x+2y-7

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

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Q: Find the particular solution of the differential equation. dy dx -9x³e-x²; y(0)=2

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Q: Find the general solution for the differential equation: (2xy²-2y)dx+(3x²y-4x)dy=0

A: Given :(2xy2-2y)dx+(3x2y-4x)dy=0

Q: (e) y" – 4y' + 4y = 2x

A: To find the general solution

Q: Solve the non-homogenous differential equation below dy 2y + x - 3 dx y + 2x – 3

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Q: What is the general solution of the differential equation 2y"+y'-6y=0?

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Q: In the differential equation (6x - 3y + 2)dx-(2x - y - 1)dy = 0 , we let the substitution dx =…

A: Please see the answer below.

Q: What is the long-term behaviour of the general solution to the differential equation dy = 5(1 – y)…

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Q: Find the general solution of the differential equation y' – 2y = x + 6.

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Q: Find the general solution of the differential equation…

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

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Q: Find the general solution of the given higher-order differential equation. y""8y" - 9y' = 0 y(x) =

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Q: Find the general solution of the differential equation y'' + 9y = xcosx.

A: Differential equation of the form ;   are called ordinary linear differential equation of higher…

Q: 2. Find the general solution of the differential equation: dy dy 5 + 6y = e3x dx - dx?

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Q: x'y" +2xy-2y =x In x+3x

A: The given differential equation is                x3y'''+2xy'-2y=x2lnx+3x The differential equation…

Q: Show the solution in getting the general solution of the differential equation (x+2y-4)dx-(2…

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Q: Show that (y^2-1)^2=Ax is the general solution of the differential equation 4xy dy/dx =-1+y^2.

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Q: Find the general solution of the differential equation xyy'=x^2+3y^2

A: A differential equation is an equation that relates one or more functions and their derivatives as…

Q: What is the general solution to the the differential equation 3y''-y' - 2y=0? (2/2)

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Q: Find the Solution to the Differential Equation (x+2y) dx - (2x-y) dy=0

A: The given differential equation, x+2ydx-2x-ydy=0 use the integral formulas,…