x*y'(x) + (1+x) * y(x) - 2 = 0 Find the general solution of the differential equation. Since y(1)= 1; y(-1) = ? Calculate its value.

Q: The differential equation y'= x – 2xy can be solved by two methods. These are:

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Q: What does the general solution of a first-order differential equation represent geometrically?

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Q: Solution of differential equation xy' - y = 0 (y' = dy/dx) is...

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Q: Use undetermined coefficients to solve the differential equation y"" -y=e¹- x + 16.

A: We have given a differential equation ,  y''' - y = ex -x + 16 First we will find complementary…

Q: 5.Find the general solution of the differential equation y'=x-y+3/x-y

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Q: Find the general solution of the first-order differential equation                       y′ = 2x√(1…

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Q: find the solution of differential equation x²y' = xy + x²ex

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Q: find the solution of differential equation y' = 1+ e*-y

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Q: The diffeterctial equation is y²dx+ 3xZy² dx + dy=0

A: In the given question we have to find the value of the constant c at the point (2,1) when we solve…

Q: Solve the differential equation with the appropriate method. Finalize answer equated to y.…

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Q: (4) a general solution of the 4th-order differential equation y +y(3) + y" = 0.

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Q: A solution of the differential equation 2 y"

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Q: the differential. Equation by eliminating the arbitrary constant  y = Ae2x + Be-2x

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Q: Suppose that a fourth order differential equation has a solution y = -3e5Isin(z). Find the initial…

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Q: Find a linear differential equation with constant coefficients satisfied by e² ³x, and e4x

A: A linear differential equation having auxiliary roots m1, m2, m3,....... have following independent…

Q: One solution of the differential equation y''+y'=0 is y=e^-x. A second linearly independent solution…

A: We will find out the required solution.

Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

A: Given differential equation is y''-y'-2y=2 e-x   Let the particular solution of this differential…

Q: -3-x+x. y (0) -2. y(0)

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Q: yu) + 2y"+ y - x²sinx

A: The given differential equation is: y(4)+2y''+y=x2sin x

Q: y' = e2x-y

A: Solution is 2ey= e2x+C.

Q: μ (x, y)=xayb and find the general solution to the equation

A: Here we have to find out both integrating factor and general solution.

Q: Find the general solution to the differential equation using the method of Undetermined…

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Q: The Differential Equation y'+y=e* has a solution y=(x+C)ex C is an arbitrary constant. IF TRUE, show…

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Q: 5) Solve the differential equation with appropriate method. xdy-ydx-√(x2 + y2) dx=0   Show…

A: We have to solve the differential equation xdy-ydx-x2-y2dx=0.

Q: *- 2- 2 - - 2 = 0 dx dx

A: The solution is given below-

Q: (9x^2 + y - 1) - (4y - x)y′ = 0

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Q: Solve the differential equation: xy'-2x2y= y ln y

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Q: Determine if the function is a solution of the differential equation y''-y=0

A: y''-y=0 y'' represents the second derivative  we find the roots , by writing the given equation in…

Q: find the solution of differential equation y' = 1+e-y

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Q: Yp = -1 / 5ex - 1/2 (cos 2x) ((ln (sec2x + tan2x)) is the particular solution of the differential…

A: A solution yp(x) of a differential equation that contains no arbitrary constants is called a…

Q: Using the method of undetermined coefficients, find the general solution to the differential…

A: The given differential equation is y′″ - 3y″ - y = 4et                                    ...... (1)

Q: A brine solution of salt flows at a constant rate of 6 L/min into a tank that initially held 50 L of…

A: Let y be the amount of a substance. The concentration of the substance can be modeled using the…

Q: Solve the differential equation xy' - 3y = 2x° In x. The solution is y = (Type an expression.)

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Q: Match the differential equation with its solution. y' - 4x'y = x3 %3D

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Q: A/an ______ differential equation in the unknown function y and the independent variable x is linear…

A: This is a problem of differential equation.

Q: The solution of the differential equation y^'=-2xy is a family of solutions of

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Q: find the solution of differential equation 2 y3 y' +- y

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Q: Find the general solution of the differential equation using any method         y′ = ln(x2 + x)

A: we have to find the solution of the given differential equation  y′ = ln(x2 + x)

Q: Solve differential equation   y=5xy'

A: Given,          y=5xy'

Q: y'=-8xy² +4x(4x+1)y-(8r² +4x² –1) Find the general solution of differential equation

A: Given: y'=-8xy2+4x4x+1y-8x3+4x2-1

Q: The differential equation: y²x + y² = x²yy' is solved by

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Q: Find particular solution of the differential equation dydx-2x+13=4x+1y , given x=0, when y=0

A: I have solved using integrating factor

Q: What is a first-order differential equation? When is a function a solution of such an equation?

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Q: A solution of a differential equation that is free of arbitrary parameters is called a/an solution.

A: Particular solution.   A solution of a differential equation that is free of arbitrary parameter is…

Q: Solve (first order linear differential equation): y'-3x2y=ex^3

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Q: yu+y=be" +bsinne +bsine.

A: Given DE is y”+y=6ex+6sinx solve the DE

Q: x² + y² y' = ху ; y(e) y(e)=e

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Q: Solve the Homogenous Differential Equation: (x² + y³) = xy ху.

A: This question is based on solution of Homogeneous differential equation.

Q: y= 2ax + bx^2

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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.