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

Q: Which of the following is an integrating factor for 2ydx + x(2 + x²y)dy = 0 ? B xª ya

A: Given differential equation 2ydx+x(2+x2y)dy=0 To find the integrating factor of the given…

Q: The integrating factor of the differential of the form +P,x Q, is given by ef dy. O True O False

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Q: Determine the Integrating factor of the DE: y (2³e™y – 3) dæ + x (y+ x*e®v) dy = 0 -3 1

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Q: 20. Evaluate dædy by changing the limits of integration appropriately. e y/2

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Q: What is an integrating factor of the nonexact DE dy/dx = 1/(2xy) -2y 2y e^(y^2) e^(-y^2) O NA

A: We have to find

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

A: Consider first problem:

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: 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: -3dk + (xy²– x²) dy = 0, -2 -2 x*)dy = 0, Integrating Factor = x

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

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

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Q: dy dx 3y x+1 || (x + 1) 4

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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: If µ(x, y) = x" y" is an integrating factor of the the DE. (1 + 3xy)dx + (x y-l + x² )dy = 0 Then,…

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Q: 8) y(y³- x) dx + улу x(y² + x) dy = 0

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Q: Find an integrating factor to the linear D. E. In(9 x+16)y+ y =20 9x +16 p(x)= (6 x+ 14) In(18 x…

A: Given the linear D.Eln (9x+16)y'+99x+16y=20we need ti find the integrating factor

Q: What is the integrating factor of the non-exact DE (4xy+3y² – x)dx + x(x+2y)dy =0 ? 2 (A 2 B x2 1 x2

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Q: What is the integrating factor of the linear DE of order one ydx + (3x – 2y+ 5) dy=0? 1 A x² B y3 C…

A: Given linear differential equation is y dx+(3x-2y+5)dy=0 ⇒dxdy+3xy-2+5y=0⇒dxdy+3xy=2-5y Which is…

Q: Determine the Integrating factor of the DE: y (x³e*y y) dx + x (y + x³e*y) dy 3 1

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Q: d'y Find the particular integral solution of dx - =x+3cosx+e". dx

A: I am using the formula for constant coefficient

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

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

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Q: What is the integrating factor of the non-exact DE (4xy+3y² – x)dx+x(x+2 y)dy =0 ? 1 A x2 B x2 2

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Q: dy An integrating factor for the linear DE + y=2x is: dx 1+ x2 1+ x2 a. V1+ x? O b. etan-2x Oc. С.…

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Q: d’y Find the particular integral solution of dx dy =x+3 cosx+e-*. dx

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Q: 5) y ² ( x dy + ydx) = (xy + 2) dyz

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

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Q: Evaluate the double integral : 2 e2y+z dy dx 0. 0.

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Q: The integrating factor of the linear DE dy + 5y = -9 cos x, dx is the function H(2) = e 5z Select…

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Q: Consider theD. E. M(x, y)dx + N(x, y)dy = 0 if M- N = 28M, M,N, = 1 and M = 13 – N? then an…

A: solution:consider the D.EMx,ydx+Nx,ydy=0If My3-Nx3=28M--1MyNx=1--2& My2=13-Nx2--3then find…

Q: 39.: * Compute the integral: x (Inx) dx. a. (5e –1) b. (3e -1) c. (e +2) d. (5e -e') (e* -e) 32 16…

A: Use by parts integration

Q: (2) An integrating factor of (xy³ + y)dx + 2(x²y² + x +y*)dy = 0 is (a) y (b () (d) 2xy

A: We need to find an integrating factor of xy3+ydx+2x2y2+x+y4dy=0 Now, a differential equation of the…

Q: Find the integrating factor of the given Non-Exact DE y (4x + y) dæ – 2 (x² – y) dy = 0

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Q: Obtain the integrating factor of (2* y² + v) dæ + xdy = 0 O ary 1

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Q: If p(xy) =y is an integratingfactor of the the DE. (12+Sxy)dr + (6xy+ 3x2)dy = 0 Then, the values of…

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

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Q: What is the integrating factor of the non-exact DE (4xy+3y²-x) dx + x(x+2y)dy =0 ? (A) x² 1 B (U) D…

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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: I. Using Integrating Factor dy 3 a) -y = x3 for y(1) = 4

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Q: 12

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Q: Find the integrating factor of : 2y(x2 - y+ x )dx + (x² – 2y)dy = 0 ху O y 2х e2x

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Q: 3. Find the solution to the equation 2ydx – 3xy*dx - xdy = 0 using integrating factor by inspection.…

A: First we find integrating factor to make it exact differential equation.  Then find it solution.

Q: If H is the integrating factor of 6xy dx + 5(x² + y)dy= 0, then compute H(8). A 1 в) 2

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Q: Consider theD. E. M(x, y)dx + N(x, v)dy = 0 if M – N = 24M, M,N, = 1 and M = 2 - N? then an…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.