Perform the given functions through method of integrating factors. y(y-2x) dx + (y² +x²+1) dy = 0

Q: Solve the following equation using integrating factors found by inspection. 2. y(x3 - y)dx - x(x3 +…

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Q: 16. The special integrating factor of y?dx + (3xy + y? -1dy = 0 is: С. у d. y-3 a. e3y b. Зу

A: We have given differential equation  y2dx+(3xy+y2-1)dy=0 dx+3xy+y2-1y2dy=0 dxdy+3xy+y2-1y2=0…

Q: Find the particular solution, Using the integrating factor method: dy + In x =- dx y where y(1) =3.

A: Solution: The objective is to find the particular solution to the given differential equation.

Q: Find an integrating factor that turns the following equation into exact and solve the IVP: (2xy3 +…

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Q: 1. Find out the integrating factor and solve: x dy + (3x + 1) y dx e-3* dx.

A: First we will write the given differential equation in form of linear differential equation then we…

Q: What is the integrating factor of the equation (2xy*ev + 2xy³ + y)dx + (x²y+ev – x²y² – 3x)dy = 0 A…

A: We have to choose the correct answer from the given option according to the given condition

Q: (x² y3 + 2y)da + (2.x – 20° y²)dy = 0

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Q: What is the integrating factor of the equation (2xy*e" + 2xy³ + y)dx + (x²y*e» – x²y² – 3x)dy = 0

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Q: Find the solution to the initial value problems using integration. dH/dx=3x, H(0)=1…

A: Consider first problem:

Q: Q1. Solve the IVP by finding appropriate integrating factor an (x² + y² – 5)dx – (y + xy)dx = 0,…

A: Consider the given differential equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution…

Q: Find an integrating factor and solve: y²dx + (3xy + y² – 1)dy = 0

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Q: Find an integrating factor for the DE Y( 4x – 3y – 3) dx +x(x – 2y – 1) dy=0_ A x2 y2 D x2

A: In this question, we need to find the integrating factor of the given differential equation.

Q: Find the particular solution, Using the integrating factor method: dy + In x =-y where y(1) = 3. dx

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Q: Find the integrating factor of the D.E. of y(2y+ 4x – 2)dx – 2(x+ y)dy = 0. 3x b. e-2x d. e2x a. e…

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Q: Determine an integrating factor for the D.E. y3 x2 (v++)dx +* + xy*)dy = 0 1 3 4

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Q: Given that φ(x,y)=x-1y-3 is an integrating factor for the given DE, what is the general solution of…

A: Explained below...

Q: A. Solve the following equation using integrating factors found by inspection. 3. y(x2 + y2- 1)dx +…

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Q: 1. Find the general solution of dy dx + y = x

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Q: y_x + y х х — 1 dx

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Q: Find an integrating factor and solve the given equation. (12x²y + 2xy + 4y³) dx + (x² + y²) dy = 0.…

A: Given :12x2y+2xy+4y3dx+x2+y2dy=0

Q: x³y³dy у2— 4у-21 (x – x4y)dy + (y + x³y²)dx :

A: See the solution and follow the step.

Q: dy = ( e )dx

A: See the attachment

Q: (e*+ Y + ye") dx + (xe" – 1) dy = 0, y(0) = -1 %3D

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Q: Solve the general solution using the integrating factors by inspection (x³y³+1)dx+x⁴y²dy=0

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Q: Solve each of the equations. Integrating Factors (1+ e') dy + (x² + 2x + e' + y) dx = 0; y (2) = – 1

A: We will find out the required solution.

Q: Solve using the integrating factors by inspection (y²-3-x) dy + ydx =0

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Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x + x³…

A: Given that ydx+x+x3y2dy=0Solution :ydx+x1+x2y2dy=0this diffrancial equation in the…

Q: - (v + x³ + xy®)dx – xdy = 0.

A: To solve the given differential equation.

Q: (xy + 1) dx + x (x + 4y – 2) dy = 0

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Q: Solve the bernoulli equation dx/dy+(2/x)y=-x^2y^2cos(x)

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Q: Find the general solution of: dx+(1+x^2)cotydy=0

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Q: dy Зу (x + 1)+ dx x+1 2.

A: First i i have find the integrating factor and the general solution.

Q: Find the general solution of the DE (x + y)dx + (x - y)dy =0.

A: Given differential equation is(x+y)dx+(x-y)dy=0Here, M=x+y and N=x-ythen ∂M∂y=1 and…

Q: Solve the homogenous diff equation of; xdx . (y+1) dy y³ e-x = 0

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Q: Find an integrating factor and solve the given equation. (15x²y + 2xy + 5y³) dx + (x² + y²) dy = 0.

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Q: Solve the initial value problem given below. dy - 3y (-2 – y) dx

A: To Determine: solve the initial value problem.

Q: dx 2x - y dt dy

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Q: Find an integrating factor to the non-exact equation and then solve. e(4x+y)dx - 2(x² - y)dy=D0

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Q: Solve for the Integrating Factor of the equation y (x +y + 1) dx + x (x +3y +2) dy = 0. eln y y none…

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Q: c. x²dy+ (2x³y – e*)dx = 0

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Q: 16. The special integrating factor of y?dx + (3xy + y² – 1)dy = 0 is: a. e3y C. Y b. Зу d. y-3

A: Note: According to our answering guidelines we have to answer only one question if multiple…

Q: dy 2 The integrating factor of -y= 3x² is dx -

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Q: VII. Obtain the solution using Integrating Factors Found by Inspection. 1. ydx + 2(y* –- x)dy = 0

A: The solution of the problem is given in the next step.

Q: Solve using the integrating factors by inspection and get the general solution of…

A: The given differential equation is, yx2y2+2dx+x(2-2x2y2)dy=0 Now rearrange terms as below:…

Q: Find an integrating factor and then solve the DE y + (2xy – e=2v)y/ = 0

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Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x +…

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Q: An integrating factor of (xy? – x?) dx + (3x?y² + x?y – 2x³ + y?)dy = 0 is A) ey B) ебу 1 C) 6y e D)…

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Q: Find an integrating factor and solve the given equation. (9x^2y+2xy+3y^3)dx+(x^2+y^2)dy=0

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Q: Solve for the Integrating Factor of the equation y (x + y + 1) dx + x (x +3y +2) dy = 0. A (B eln y…

A: We have to find