Solve the given differential equation by separation of variables. y In(x) *- (1)* %3D Ap

Q: solve the differential equation using bernoulli's equation dy + ydx = 2xy2exdx

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Q: solve the differential equation 2y' - y = xex/2

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Q: 3. Solve the differential equation x² (²2 + 2xy-15y² = 0. dx dogonde pogadacg9P on oyigo aos pe o…

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Q: For which values of n is the function ya solution of the differential equation xy"-Kxy'-6y=0

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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: (a) 2xy² +x²y' = y², y(1) = -1 %3D

A: Note:-   as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 3. y = Ci + C2 e- 4x

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Q: 1. Solve the differential equation (3xy- 2y)dx + (x²- 2xy)dy = 0

A: Solve the above integration

Q: dy+2ydx=e-4x

A: dy+2ydx=e-4x⇒y=-12e4x+c1e2x

Q: Solve the differential equation of the given function by elimination of arbitrary constants y =…

A: we  need to find the differential equation for the given solution by elimination of arbitrary…

Q: xyy' = x² + 1

A: We have to solve the given differential equation  xyy'=x2+1

Q: An ordinary differential equation of a horizontal string which is freely pinned at both ends is…

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

Q: 3. Solve the differential equation y' - 2ty = t by multiplying both sides by an appropriate…

A: Given differential equation:-    y' - 2ty = t

Q: Determine the value of k that will make the equation exact and solve the resulting differential…

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Q: Solve the differential equation y' - 4xy = x

A: We have to solve the following differential equation -  y' - 4xy = x⇒ dydx - 4xy = x

Q: y ln x In y dx + dy = 0

A: Given:  y(lnx)(lny)dx + dy = 0 => (lnx)dx = -dy/ y(lny) The above differential equation is of…

Q: Find the general solution (or the initial value solution if applicable) of the following ordinary…

A: We will find out the general solution for given differential equation using power series method.

Q: Find the general solution of the differential equation: y'-5y = et Use lower case c for the constant…

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Q: In the given question ,, determine whether the statement is true or false. If it is false, explain…

A: Given :                The function y = 0 is always a solution of a differential equation that can…

Q: y' = 2x – 3xy

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Q: Solve the differential equation 1.) dy = (y²xe^3-3x²y)dx

A: Please see the below picture for detailed solution.

Q: 1) Find the differential equation that would yield the solution given below. y = C1 + C2X

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Q: solve the differential equation y'ln[y]+x2y=0

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Q: 5. (a) Find the general solution to the differential equation y?

A: To find The general solution and particular solution of the given differential equation

Q: y+ycotx= cosx

A: The given differential equation is in the linear form, dydx+Py=QWhere, P and Q is the function of x.…

Q: 1. Solve the differential equation to find y: (1+ x)2+y= Vx

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Q: b) Find the general solution to the differential equation

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Q: In the given question , find the general solution of the differential equation. yr = x (1 + y)

A: The given differential equation is y'=x 1+y. Solve the above equation as follows.

Q: Solve the differential equation. y' = 4x – y %3D

A: Let v=4x-y Differentiating both sides we get: ddx(v)=ddx(4x-y)v'=4-y'y'=4-v'

Q: by regarding y as the independent variable rather than x. Solve the differential equation. 27. (x +…

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Q: 1. Solve the differential equation: xy' – y = 2x ln x

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Q: 7. Solve the differential equation dy dx Va - y

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Q: Solve the Bernoulli Differential equation ху+x-ху^3

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Q: Solve the given differential equation by separation of variables. ds ks = dr S =

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Q: Solve the differential equation y2 − 3x dydx = 6.

A: follow the next step

Q: Solve the differential equation. y' + 5xeY = 0

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Q: Solve the differential equation: xy =yln

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Q: The solution of the following homogenous differential equation y' = - x+y -is

A: We find the solution of the homogeneous differential equation y'=yx+y

Q: Solve y"- бу" + 2у +36у %3D0. с.

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Q: Solve the differential equation: p2+2pycotx=y2

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Q: Solve the differential equation. xy' + y = 19Vx %3D

A: Given differential equation is xy' + y = 19x

Q: tx' = x + te-.

A: See the details below.

Q: Solve the differential equation x²y"-y e 2*

A: The general solution of the second order, linear, non homogeneous ordinary differential equation…

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: (5) Solve the differential equation by variable dy separable x°y- csc y dx

A: A separable differential equation is any equation that can be written in the form y′=f(x)g(y). The…

Q: 2) x- 1= -0y

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Q: Solve the differential equation (D² +1) y = x² cos 5x

A: Solution :-

Q: solve the differential equation xy' - y = 2x ln x

A: Given: xy'-y=2xlnx For finding solution of given differential equation, we convert it in first order…

Q: xy (prime) – 2y = 8x² ln x

A: