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

Q: Determine an integrating factor φ(x,y) for the following DE: y(x + y + 1) dx = −(x + 2y) dy

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Q: If x, y, and z are lengths of the edges of a rectangularbox, then the common length of the box’s…

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

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Q: What is the integrating factor of 2y (y - r) dy = dr? %3D O y? 2y

A: Topic = Differential equation

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 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 the IVP for the differential eqution X' y' - 3xy'+68y=0, that satisfies the initial conelition…

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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 the integrating function (I. Fn.) for the reducible to exact ODE : (x-y³)dx+xy² dy = 0 а. I.Fn.…

A: Given, x-y3dx+xy2dy = 0  We have to find the integrating function (I.Fn) for the differential…

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: Find the differential dy. (a) y = xV7-x dy (b) y = (1+x) dy

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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: In the given DE, cos z + In y + ( +e) dy 0, de integrating M (x, y) with respect to x generates a…

A: Here we are given a differential equation And we have to find the function g(y). For this first we…

Q: Find the integral surface passing through the curve T: z= x³, y = 0 of the partial differential…

A: We have given a partial differential equation ,  xy∂z∂x - 2x4∂z∂y-4yz = 4x8yey2 We need to find…

Q: Find the differential dy. (a) y = xV10 - x dy = -2 (b) y = (1+x) ? dy =

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Q: (a) Find the differential dy of y = x² + 2x + 5. (b) Evaluate dy for x = 3, dx = 1/2. (а) dy 3 dx…

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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 x2 1 x2

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Q: Find the differential dy and evaluate dy for the given values of x and d.x y = Vx2 + 24, x = 1, dx =…

A: First differentiate with respect to x then find value at x=1 and dx=-0.1

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: The Integrating Fachor for the DE y dx- Ge-2x)Jdy -2y None of These

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

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Q: Find the integrating factor for dy – 2xy dx = x dx. А. e1-2у %3D C. e1+2y 1 В. 1-2у 1 D.- 1+2y

A: Given the differential equation

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

A: A differential equation of the form Mdx+Ndy=0 is said to be an exact differential equation if it…

Q: Let y = 5,a. %3D Find the change in y, Ay when r = 5 and Ar = 0.2 Find the differential dy when r =…

A: Our problem is let y=5√x First, it is easiest to take the derivative of this when in a different…

Q: Find the differential dy. (a) y = xv8- x %3D dy %3D (b) y = (1+ x)7 dy

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Q: Find a positive value of k for which y=sin⁡(kt) satisfies d2y/dt2+16y=0.   k=

A: Double derivative

Q: (a) Find the differential dy. V3 + x2 dy = (22+3)() (b) Evaluate dy for the given values of x and…

A: Given query is find the differential of y and its value.

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

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Q: Consider the equation 6xydx + 5(x² + y)dy = 0. Following the technique of finding an integrating…

A: First we need to find interesting factor of given equation to calculate U(8):

Q: What is the integrating factor of dy + 2y – x = 0 x- dx Which of the following is a non-exact…

A: Note the results  dxndx=nxn-1ddx1x=-1x2

Q: Find the total differential. w = e3Y cos(5x) + z5 dw

A: The total differential of a function w= f(x,y,z) with continuous first partial derivatives in a…

Q: The total differential of g(x, y) = e*z²-y is at A(1,4) is %3D Select one: a. dg(A)=(8-1)e^(0) O b.…

A: Consider the following function: gx,y=e4x2-y Differentiate gx,y with respect to x taking y as…

Q: To reduce the DE (x+2y-4)dx – (2x+y-5)dy=0 to a DE with homogeneous coefficients, use the…

A: See the solution.

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: y (In y - 2 x) dx + (x + y) dy = 0, (x + y) dy = 0, O(y)

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

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Q: If f(x, y) = 4x²y+7xy°, then the total differential of f at x = 1 and y = 1 is : %3D O df = 15 dx –…

A: Use formula of total differential

Q: 12

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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: 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 the total differential. w = e7Y cos(4x) + z7 dw

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Q: An integrating factor (of the form u(x, y) = x" + y") for the DE. ydx + 5xdy = 0 is O is + y * + y?…

A: Solution: The objective is to find the integrating factor of the given differential equation