(x+y)dx + xlnxdy = 0 What is the general solution of the differential equation?

Q: Give the general solution of the differential equations.   y" - y' - 6y = sin 2t

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Q: y" + 2 y' + y = x²e=x

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Q: Find the general solution for the differential equation: 8- y" – 2y' + y = 1+x?

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Q: find solution of differential equation y'=(x^3+3y^2)/2xy

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Q: (x- 2y)dx+(2x+y)dy=0 Find the solution of the differential equation

A: Given differential equation is x−2ydx+2x+ydy=0....1 We have to find the solution of the given…

Q: ind the general solution of the differential equation 7e " - 2y + y =

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Q: Find the general solution of the differential equation y′ = −√x/4y

A: Given Data The differential function is y’=-√x4y.   Arrange the differential function y’=-√x4y,

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 the general solution to the differential equation. x²y' = (x + 5)y y =

A: Given:- x2y' = (x+5)y To find:- General solution of given differential equation

Q: 4) (y + x² ) dx = xdy Find the general solution to differential equations

A: We have given a differential equation   y + x2 dx =  x dy ydx + x2 dx = x dy x dy - y dx = x2 dx

Q: Find the general solution of the first-order linear differential equation. xy - y = x? – 4x

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Q: The differential equation y' = Vx+y+1–1 has the solution:

A: We need to solve the differential equation given by y'=x+y+1-1 The solution is given below.

Q: Find the general solution of the differential equation y′ = 5x/y

A: Given the differential equation: y'=5xyRewrite asdydx=5xy

Q: (6x + y²)dx + y(2x – 3y)dy = 0 -

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Q: What is the general solution to the differential equation (x+y-1)dx+(3x+4y-2)dy=0

A: Differential can be solved by different method  By variable separable By homogenous method  By…

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: find the general solution of the given differential equation.  y(6) − y″ = 0

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Q: Find the general solution of the differential equation y′ = x(1 + y)

A: Given differential equation - y' = x1+ydydx = x1+ydy = x1+ydxSeparating variables - dy1+y =…

Q: Determine the solution to the differential equation given by: y'' + 3y -10y= 0

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Q: e*+Y y =3x

A: The given differential equation is                                              ex+yy'=3x To solve…

Q: Obtain the general solution of the differential equation y' + (4/x) y - (x^3)(y^2)=0

A: The given differential equation is                                      y'+4xy-x3y2=0  ... (1)

Q: The solution of the ordinary differential equation y" – y" = 0 is:

A: The given ordinary differential equation is:y'''-y''=0The auxiliary equation is:D3-D2=0

Q: X- V+ 1 y'=. X+ 3

A: see in the next step

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: Find a general solution to the differential equation.   y''-y=-21t+5   y(t)=?

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Q: Find general solutions of the differential equation          xy+y^2-x^2y'=0

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

A: Consider the provided differential equation,

Q: y (4x + y) dx -2(x²-y)dy = 0

A: Let's solve given diffrential equation.

Q: Find general solutions of the differential equation  (x+e^y)y'=xe^(-y)-1

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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: et y" – 2y' +y = 1+ t2

A: Given differential equation y''−2y'+y=et1+t2 We have to find the general solution of the given…

Q: Obtain the general solution of the differential equation y’ = x^3 + 3x.

A: The given differential equation is y'=x3+3x

Q: Find the particular solution of the differential equation. dy - 4x³ e dx ; y(0) = 9 y =

A: Here I am attaching image so that you understand each and every step.

Q: Find the solution of the differential equation. y`+3x=x+e-2x

A: Given query is to find the solution of the differential equation.

Q: y' + xe*-y = 0

A: To Obtain the general solution of the Differential Equation

Q: xdy-[y+xy3(1+Inx)]dx=0 Find the general solution of the differential equation.

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Q: 2xy+3y² 2xy+x² dy dx ||

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Q: Find the particular solution of the differential equation (x+1)+ xy = (x + 1)²e-³x, y(0) = 4

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Find the general solution of the given differential equation:  y''' + 3y'' - 4 = 0

A: Topic:- differential equation

Q: Find general solutions of the differential equation    (x+y)y'=1

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Q: Find the general solution of the differential equation. 11x y' = y

A: We have to find the general solution of the given differential equation.  For this we will…

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

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

Q: Find the general solution of the differential equation . (2 + x)y′ = 3y

A: Consider the differential equation: 2+xy'=3y

Q: Find the general solution of the differential equation (1 + x)y = 3x.

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Q: Find a general solution to the differential equation y" +y' +y = 3x² + 2ex.

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Q: Solve the differential equation y' - 3y = δ(t-1), y(0) = 0

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Q: Evaluate the solution of the differential equation y' + xy = 6x/y .

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Q: Find the particular solution for the differential equation: y''+2y' +y = (x^2)(e^-x)

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Q: с. у -у%3х y = x

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

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,…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.