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

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: 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: The integrating factor of the DE 2y(x^2 - y + x) dx + (x^2 - 2y) dy = 0 is O x^2 O 2x O e^x O e^(2x)…

A: This question is based on Differential equation.

Q: find the integrating factor of the given linear DE and general solution of the…

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Q: 10. Evaluate the integral ffS (xy + z²)dV, where E = {(x,y, z:0 Sx< 2,0 < ys 1,0 <z< 3)} using three…

A: given , integral ∫∫∫xy+z2dV  where E=x,y,z:0≤x≤2,0≤y≤1,0≤z≤3 claim- to evaluate the integral

Q: Find the integrating factor of : zydz = (x² + 2y²) dy 1 a. µ 2у3

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Q: (2yxe" + 2a²ye*)dx + (6y°x – 2x²e")dy = 0 1 is an integrating factor. xy? a) Show that u

A: We have to check

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: d) Evaluate using integration by parts: J(x+ 2)In x dx

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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 integrating factor. C.) ydx+(3x-xy+2)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 (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: The reverse order of the integration J. Jy f(x,y)dxdy is A) SF f(x, y)dydx B) f, J fcx,y)dydx C) S,…

A: Here we have to change the order of integration.

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

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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: Let I = [ -1 y+x y-19y+xª dxdy. By reversing the order of integration of I, we get: Osysx^2+1…

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Q: (x – y²)dx + 2xydy = 0

A: We have to find integrating factor of given differential equation.

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

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Q: x = In(8y + 1), osys1 (a) Integrate with respect to x. dx (b) Integrate with respect to y. Ap

A: We have to find

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: Evaluate fz² In z dz using integration by parts 2 Onz-+ +c Oz-+ Onz-+c Oz² Inz - 2 + c

A: ∫z2lnzdz=∫(lnz)z2dz=(lnz)z33-∫1zz33dz+c=(lnz)z33-∫z23dz+c=(lnz)z33-13z33+c=(lnz)z33-z39+c=z33(lnz)-z…

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: 15. What would you choose for your u here if you used integration by parts? f 3t e2" dt а. t b. e21…

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

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Q: Evaulate the line integral of c (x^2+y^2) where c is the line segment from (-1,-1) to (2,2)

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Q: ¡(z+1)dz 3 where C is z+2|= |z+2\=% z'-4z

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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: If the given linear DE is (y – cos² x)dx + cosxdy = 0, what is the integrating factor? |

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Q: What is the integrating factor of 6y²dx (2a + y) dy = 0 %3D

A: A non-exact Differential equation becomes exact when we multiply it by an Integrating factor.

Q: T "cos(x²)dxdy? What is the reversed order of integration of 'y a. I T cos(x²)dydx ST"cos(x²)dydx O"…

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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 © x²

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Q: Find the integrating factor of (x^2−y^2−4y−5)dx+2x(x+y+2)dy=0

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Q: Consider the boundary value problém, azu a?u = 0, 0<x< 3, 0 < y < 3, %3D u(0, y) = 0, u(1,y) =3, 0 <…

A: Given :-  The boundary value problem , ∂2u∂x2 + ∂2u∂y2 =0  , 0&lt;x&lt;3  , 0&lt;y&lt;3  u0,y =0 ,…

Q: Vy+I ydx dy -1 -Vy+1

A: Let's find.

Q: 6: Change the order of integration; -1 f(r, y)dydr + f(r, y)dydx

A: Interchange the x and y limits For first part y=x⇒x=y2x=0, y=0x=1, y=1∫01∫0x f(x,y)dydx=∫01∫0y2…

Q: (xy+2)dx+(§x*y+8x-4y* )dy =0

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Q: And And where What is the produc A C sdR = dxi + dyj + dzk 3 Ã = zi – xj – yk Cya S. Ā.dR of…

A: Ans = 11/2  For detail go through the solution

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: The value of the double integral a x dn dy is 0,

A: To find ∫-aa∫0a2-x2x dx dy : ∫-aa∫0a2-x2x dx…

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

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Q: 2+ y²) dz dy

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Q: Calculate the double integral. ∫∫ ey ^2 dA, D= {(x,y)| 0≤ y ≤3, 0≤ x ≤ y}

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Q: Find the total differential. z = e4x sin(3y) dz =

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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: Evaluate the double integral. dA, D = {(x, y) |0Sx< 5,0 < ys Vx} x2 + 1

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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: 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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