The solution of the differential equation dy dx 5x + y is

Q: Find the general solution of the differential equation dy/dx = 2.

A: dy/dx = 2 Integrate both sides w.r.t x to get: y = 2x + C where C is the constant of integration

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

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Q: 2. y Inxlny da + dy = 0

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Q: The general solution of the differential equation d’y dy dx 2 -X-+Y3D2(nx dx

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Q: Solve the differential equation dy dx +2y = e-*

A: The differential equation is given by dydx+2y = e-x

Q: Find the general solution of the differential equation xy' + x2 + xy − y = 0.

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Q: The solution of the differential equation below is dy 3y +4x = 0 dx

A: Let's find.

Q: Find the general solution of the differential equation.

A: The general solution of a differential equation is an expression of y in terms of x. To find the…

Q: A particular solution of the differential equation y''+2y'+y=e^x is:

A: A particular solution of the differential equation y''+2y'+y=e^x is:

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

A: The given differential equation is x2dx-(y+1)dy=0, y(0)=1. Solve the given differential equation to…

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: The solution of the differential equation (x³ + 3xy?)dx+ (y³+3x²y)dy=D0 is

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Q: Solve the differential equation dy/dx = xy + 3x - 2y - 6

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Q: Find the general solution of the differential equation. dy/dx= x-6/y^3

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Q: The solution of the differential equation (x³ + 3xy?)dx+ (y3+3x² y)dy=D0 is

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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: 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 = 3x2/y2

A: Consider the given equation dydx=3x2y2

Q: dy 3r'y² || dx

A: We solve the differential equation as

Q: Solve the differential equation dy dx V1- = 0

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Q: Solve the linear differential equation 2y dy + d.x 4x

A: Given equation is non homogeneous first order linear ordinary differential equation.

Q: Find the general solution of the differential equation.                                  dy/dx = (1…

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Q: Find the general solution of the differential equation dy/dx = (6 − x2)/2y3

A: dydx=6-x22y3

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: The general solution of the differential equation y +4y 0 %3D is

A: Topic-  differential equations

Q: The solution of the differential equation below is dy 3y- + 4x = 0 dx %3D

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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: dy 2 y -x²y² dx

A: Solution: This equation is a Bernoulli Equation i.e. dydx+Py=Qyn where P and Q are functions x

Q: dy + 3y = 3x²e-3x dx

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Q: Solve the linear differential equation dy y = 2x2 - %3D dx x

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Q: Find the general solution to the differential equation dy x3 dx x² – 1

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Q: Find the general solution of the differential equation dy/dx = 3y + 5

A: Find the general solution of the differential equation dydx=3y+5

Q: Find the general solution of the differential equation…

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Q: Find the general solution of the differential equation dy/dx = x + 3

A: the differential equation given to us is  dydx=x+3 we will use variable separable in which dx  will…

Q: The solution of the differential equation. dy 2y – x³y² dx =

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Q: Find the general solution of the differential equation dy/dx = x3/2y2

A: Treat dydxlike a fraction to move the y terms to one side of the equation and the x terms to the…

Q: Find the general solution of the differential equation dy/dx = 5 − 8x

A: To Determine:  Find the general solution of the differential equation dydx=5-8x Given: we have…

Q: The solution of the differential equation. dy 5xy + 18x² + 2y² dx x²

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Q: Find the general solution of the differential equation dy/dx = x/(x2 + 2)

A: Given: dydx=xx2+2 for finding solution of given differential equation, we use variable separable…

Q: Solve the linear differential equation 2y dy + d.x = 4x

A: We have to find

Q: Find the general solution of the given second-order differential equation. Зу" + 2y' + у %3D0 y(x) :…

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Q: dy dx || x3 2+y²

A: Given differential equation, dy/dx= x³/(2+y²) So, (2+y²)dy=x³dx

Q: The solution of the differential equation dy x+x+2xy %3D dx x2+1

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Q: The general solution of the differential equation (x + y)°dx – (y² – 2xy – x?) dy = 0 is

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

Q: The solution of the differential equation x?y" – 3xy + 4y = 0 is

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Q: Solve the linear differential equation dy y 2x2 dx

A: This ODE can be solved as follows:

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

A: To find the general solution of the differential equation.

Q: Solve the differential equation of dy/dx + 1/3 y = e^x y⁴

A: Divide both sides of the given differential equation by y4 to obtain the right hand side y free.…