Determine an integrating factor and solve the following differential equations. xdy-yd-{-r'\dr=0 Answer: 2ry+1+2x°=cxr° 1.

Q: 3. (x4 + 2y)dx = xdy

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Q: Solve the given differential equation subject to the indicated conditions. y'' + y = sec3 x, y(0) =…

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Q: Solve the following first-order differential equations by the indicated method.   Using Variable…

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Q: . Find the differential equation whose solution corresponds to the following equation. 1) y = αcos(x…

A: y = αcos(x + β) So, y' = - αsin(x + β) & y" = - αcos(x + β)

Q: Solve the given differential equation by variation of parameters. x2y" + xy' – y = In(x) y(x) = ,x >…

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Q: Determine the integrating factors in each of the following differential equations and solve for the…

A: A detailed solution is given below.

Q: Solve the given differential equation by finding an appropriate integrating factor.   6xydx +…

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Q: (x4 + 2y)dx = xdy

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Q: Find the solution of the following Differential Equations by Homogenous Equation 8) y' = tan(x+ y)–1

A: Given : The differential equation is : y'=tan(x+y)-1 We have to find the solution of the given…

Q: Solve the given differential equation by separation of variables. dy=x√√1-y² dx

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Q: dy = (x³ – 2xy)dx

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Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

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Q: Solve the following differential equation using variation of parameter. 1 y" + 3y' + 2y 1+ et

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Q: Obtain the differential equation whose general solution is y =a sin 6x- bcos 6z, where a and b are

A: Given: y=asin6x-bcos6x for finding differential equation for given equation, we have to eliminate a…

Q: determine the roots of the indicial equation of the given differential equation. Q. 4x2y′′+xexy′−y…

A: We can rewrite the given equation as: The indicial equation is given by: We solve this to get…

Q: Given: (1+ 2ytanx)dx- dy = 0, determine the solution to the differential equation.

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

A: Given that  The differentiatal equation  To find the particular solution by using the undetermined…

Q: y' - (2xy - x³ ) = 0 %3D

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Q: ydx + (2x + 1 – xy)dy = 0

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Q: Solve the differential equation by variable seperable method  (ey+1)cosxdx+eysinxdy=0

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Q: (-14х3у - Зе-У — 1) dx + 2x(3е-У — 2х3) dy %3D 0

A: -14x3y-3e-y-1dx+2x3e-y-2x3dy=0                                (1) Comparing to standard equation…

Q: Solve the given differential equation by separation of variables. ds = kS dr %3D

A: dSdr=kS

Q: (y – 2)dx = (y – 3x)dy

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Q: (2x – 3y +1)dx – (3x+2y-4)dy = 0

A: (2x-3y+1)dx-(3x+2y-4)=0The above differential equation is of the formMdx+Ndy=0where M=2x-3y+1    ,…

Q: Solve the differential equation by the method of integrating factors.

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Q: Solve the given third-order differential equation by variation of parameters. y"+ 64y' = sec(8x) |3|…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. =…

A: Given differential equation is xdydx=y+x2−y2......1. We have to solve the given differential…

Q: a. y = 3 sin 2x+ e-* ;y" + 4y = 5e-*

A: y=3sin2x+e-xAnd y''+4y=5e-x

Q: Solve the given third-order differential equation by variation of parameters. y"' + 16y' sec(4x) =…

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Q: (y – 2)dx = (y – 3x)dy

A: The solution is given as

Q: 3.) (–14x³y – 3e-y – 1) dx + 2x(3e-y – 2x³) dy = 0

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Q: 7. x = A + By + Cy² + De-4y; xV + 4x"' = 0

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Q: ds 1 s tan 2 t =csC dt 2

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Q: use an integrating factor to solve the given differential equation. dy 5x 4y = Ce - dx

A: Use the mentioned method.

Q: (x4 + 2y)dx - xdy = 0

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Q: 2. y' %3D х- Зу

A: The objective is to determine the integrating factors  of the following differential equation and…

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: If y=f(t), then the independent variable t is called the input of the function, and the dependent…

Q: Solve the given differential equation by separation of variables. csc(y) dx + sec (x) dy = 0 (2x +…

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: Solve the given differential equation by variation of parameters. ху" — 8y' %3D х* y(x) = ,x > 0

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: By using the method of undetermined coefficients, simplify the general solution for the following…

A: follow next step

Q: find the Integrating Factor and Get the General solution of the given differential equation

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Q: Solve the following differential equations by determining the integrating factors.   (−14x^3y −…

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Q: Solve the following 2nd order differential equation by Varition of parameters method. (D2 + 9) y =…

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Q: Determine the integrating factor for the following differential equation y'=3x+6

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Q: y – 2)dx + (3x – y)dy = 0

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Q: Use the annihilator method to solve the given differential equation. y"-y=3e²+ sinä.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Solve the given differential equation by separation of variables: x(dy/dx)=6y

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Q: (4 - 3xy - 3y) = (x+1)² y'

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