Use the method discussed under "Integrating Factor found by Inspection". xy(y? + 1)dx + (x²y² – 2)dy = 0, y(1) = 1

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

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Q: Find an integrating factor for the linear DE of order one dx + (2xy – 1)dy = 0. (1)y? ... (2) ev²…

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Q: B. Solve the following equation using the determination of integrating factors. 4. y(y3 – x)dx +…

A: Recall: If the equation  Mdx+Ndy=0 can be expressed as    xayb(mydx+nxdy)+xcyd(pydx+qxdy)=0 , where…

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

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Q: It is given that the DE y dx (ye' - 2x)dy is linear in x variable. The Integrating Factor of the…

A: The solution for the above equation is as shown below.

Q: + (4xy – 3x²) dy = 0, find an integrating factor of the form d equation. %3D

A: First we have to find integrating factor for given differential equation and with the help of…

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: It represents the integration factor of the equation y (2xy +1)dx +x (1 + 2xy -x'y')dy = 0 1 Amount…

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Q: The special integrating factor of y'dx+(3xy + y² -1dy = 0 is: a. e3y b. Зу С. У d. y-3

A: Solution

Q: Solve for the general solution of the given DE by using the integrating factors found by inspection.…

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Q: So SAF+1° y¹/3 x7 +1 (Hint: Change the order of integration to dy dx.) Y dx dy.

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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 B y2 y2 (D

A: To find an integrating factor for the DE  y4x-3y-3dx+xx-2y-1dy=0

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 an integrating factor for the DE y( 4x – 3y – 3) dx +x(x – 2y – 1) dy =0. (A (B) y2

A: The given differential equation is in the form of Mdx + Ndy = 0 Where, M=y4x-3y-3 ; N=xx-2y-1 The…

Q: xy(y? + 1)dx + (x²y² – 2)dy = 0, y(1) = 1

A: Given: xyy2+1dx+x2y2-2dy=0, y1=1 ⇒xy3dx+xydx+x2y2dy-2dy=0 ⇒xy2ydx+xdy+xydx-2dy=0 ⇒xy2 dxy+xydx-2dy=0

Q: Solve the differentfial equation by Using the method of integrating factor for e= dy 24. 2%. dz e-x

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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: 1. Put the following equation in separated form, do not integrate. dy _ x?y-4y a. dx x+4

A: Take y common from the numerator of right hand side.

Q: 3X An integrating factor for the DE dy + ydx = e³*dx 5 O ey O y O ex O x?

A: For a differential equation of the form, , the integrating factor is defined by .

Q: The integrating factor of dx dy 2 y= 3x² is а. b. 1 x С. d. 1

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Q: The integrating factor of the non-exact DE: y²dx + (xy – 1)dy = 0

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Q: What is the integrating factor of the non-exact DE (4xy+3y² – x)dx+x(x+2y)dy =0 ? 2 A 2 B C x2 D

A: Given, (4xy+3y2-x)dx + x(x

Q: Find the integrating factor a. (xy+y2)dx+(x2+3xy)dy=0   b. (y2e2x+1)dx+(2ye2x-ex)dy=0

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Q: An integrating factor of (xy? + 2x?y³) dx + (xy – x'y?) dy = 0 is

A: Given equation (xy2+2x2y3)dx +(x2y-x3y2)dy = 0or y(xy+2x2y2)dx + x(xy-x2y2)dy = 0 here  M…

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

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Q: The integrating factor of the non-exact DE: y?dx + (xy – 1)dy = 0

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Q: dy + dx 1+ x Find Integrating Factor for the linear DE = cos(x) Y =

A: The differential equation is given as dydx+1+xxy=cos(x) It is a first order linear differential…

Q: Does the equation e" (x + 1)dx + (ye" – xe")dy = 0 have an integrating factor u(y) depending on y…

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

A: As per our guidelines we can answer only 1 question. So kindly repost the remaining questions…

Q: An integrating factor of (x³y² + x)dy + (x²y³ – y)dx = 0 is (a)수 (b) (c) (d)을 2xy 2x

A: Given differential equation is x3y2+xdy+x2y3-ydx=0

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

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Q: Solve for the integrating factor * y (x + y) dx + (x + 2y – 1) dy = 0

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Q: Solve for the general solution of the given DE by using the integrating factors found by inspection.…

A: Please refer the attached image for complete solution.

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 integrating factor (xy2-y)dx + (x2y-3x)dy = 0

A: find the integrating factor (xy2-y)dx + (x2y-3x)dy = 0

Q: dy + 2.xy= 5x² is dx The integrating factor of

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Q: Solve for the general solution of the given DE by using the integrating factors found by inspection.…

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Q: (xy+2)dx+(§x*y+8x-4y* )dy =0

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Q: It represents the integration factor of the equation y (2xy +1)dx +x (1+ 2xy -x'y')dy = 0 " 1 Amount…

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Q: Q/The integrating Factor of of + xy = x² is..... dx alete che de गाव

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

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Q: Find the integrating factor: dy 3y = x (1 + x?) dx e3x None of these e-3x x3

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Q: 12

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Q: Use the method discussed under "Integrating Factor found by Inspection". y(x³ – y)dx – x(x³ + y)dy =…

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Q: Trapezoidal (Use n = 9) 3 5. S¹ (5√x-³) dx √x 6. √² (5ex - e)dx

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Q: Find the integrating factor. a. (xy + y2)dx + (x + 2y- 1)dy = 0

A: We have to solve the problem

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: For the equation, 2y(x^2 - y + x)dx + (x^2 - 2y)dy = 0, what is the integrating factor?

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Q: Find an integrating factor for the linear DE of order one dx + (2xy – 1)dy = 0. (1)y? (2) ey² (3) x²…

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