The equation y=Ae2x. + Bx is the general solution of the differential equation f (x) y'+ 8 (x) y'+h (x)y=0 where f(x)=

Q: Find the general solution for differential equation.

A: Derivative of a variable measures the rate of change of it with respect to some other variable. A…

Q: 1. Find the solution of the differential equation using undetermined coefficient method. d²y dy 2-+…

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Q: Find the general solution of the given higher-order differential equation. y(4) – 2y" + y = 0 y(x) =

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Q: 2 (y+ 1) da- ydy = 0

A: Explanation of the answer is as follows

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: Find the general solution of the given second-order differential equation. 3y" + y' = 0 y(x) =

A: Given second order differential equation is 3y"+y'=0.

Q: Find the general solution of the first-order linear differential equation. xy' + y = x³3 + 1

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Q: find the general solution of the first-order linear differential equation. y' − (ln x)y = xx

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Q: Find the particular solution of the differential equation 2xy′ − ln x2 = 0, x > 0 that satisfies…

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Q: Find the general solution of the first-order linear differential equation. 8y xy = x-2

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Q: Find a particular solution of the differential equation x(y +2)y = 1 Where y(1) = - 1

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Q: Find the general solution of the first-order differential equation                     (x + y) dx −…

A: To Determine: Find the general solution of the first-order differential equation by any appropriate…

Q: Find the particular solution of the first-order linear differential equation    2xy′ − y = x3 − x…

A: Cauchy-Euler differential equation: a0xndnydxn+a1xn-1dn-1ydxn-1+...+an=f(x) On substitute,…

Q: Find the general solution of the first-order linear differential equation y′ − y = 10

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Q: Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0…

A: The initial value problem is,

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

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Q: Find the particular solution to the differential equation. 2y2 dx = 3x2 dy when x = 2, y = -1

A: this is variable separable differential equation will separate the variables on both sides and then…

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

A: The given differentail equation is  y(4) + y′″ + y″ = 0.

Q: Find the general solution of the first-order linear differential equation. dy dx x² x > 0 y =

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Q: Find the general solution of the given differential equation. y'' + y' + y = 0

A: To Find the general solution of the given differential equation.y'' + y' + y = 0

Q: Determine the particular solution of the given differential equation y(x2 + y2) dx + x(3x2 - 5y2)…

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Q: Find the general solution of the first-order linear differential equation xy′ + y = x2 ln x for x…

A: The first-order linear differential equation ,  xy'+y=x2lnxfor x>0. Solve the equation for the…

Q: Find the general solution of the first-order differential equation                    (2y − ex) dx +…

A: Given first order differential equation is 2y-exdx+xdy=0 for x>0. To find the general solution.…

Q: The solution to the differential equation dx = -2y, with the initial condition y(0) = 2, is

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Q: Use the initial condition to find the particular solution of the differential equation. y'-e = 0 ,…

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Q: Find the general solution of the given differential equation 1 2 -y' + y = -x(secx)²y2 x2

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Q: Find the particular solution of the given differential equations. 5. x²(y+1)dx + y²(x - 1)dy = 0…

A: Using Method  of Variable Separable.

Q: find the general solution of the first-order linear differential equation. 3xy' − y = x−1

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Q: A particular solution of the differential equation y" – 2y' + y = e* is

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Q: Find the general solution of the first-order linear differential equation for x > 0. dy = 30x + 14…

A: Consider the given information:

Q: Find the general solution of the given second-order differential equation. y" + 4y = 0 y(x) =

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Q: Find the value of y for the given differential equation if the value of the arbitrary constants is…

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

A: Given equation, y''+9y=0 It can be written as, (D2+9)y(x)=0, where D=ddx

Q: Find the general solution of the given second-order differential equation. y" - y' - 12y = 0 y(x) =

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Q: Find the general solution of the non-homogeneous differential equation Y” –  2Y’  + Y  =  x2 – 1

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Q: Find the general solution of the given second-order differential equation. 3y"+y' = 0 y(x) = =

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

Q: निर्न Cx-3)e

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Q: Solve for the particular solution of the non-homogeneous differential equation. 1. y''+y=2x

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Q: What is the particular solution of the differential equation determined by the initial conditions,…

A: In the question we have to find the particular solution.

Q: find the general solution of the first-order linear differential equation. xy' + y = x

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Q: Find the general solution of the first-order linear differential equation y′ + 3x2y = 6x2 for x >…

A: Given: The first-order linear differential equation: y'+3x2y=6x2 for x>0.

Q: Find the general solution of the given second-order differential equation. 3y" + y = 0 y(x) = ||

A: We have to find the general solution of given second order differential equation

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

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Q: Find the solution to the first order differential equation using any acceptable method.…

A: Given: The first order differential equation is (y2+1)dx = (ysec2x)dy.The initial condition is…

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

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

Q: 2xydx – (y² – x²)dy = 0 ; x= 4, y = 0

A: Note the following exact differential equation : x dy+y dx=dxy 2xy dx+x2dy=dx2y .

Q: The differential equation y'=xy² is subject to the initial condition y(2) = 1. Find the value of…

A: Given,         The differential equation y'=xy2 is subject to the initial condition y2=1.

Q: 1. x²y y' = ey

A: Lambert W Function: The general solution of any equation of the form xex = a is given by the…