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

Q: Find the differential dy of the function y = 3x ' O a) dx b) 3x dr c) x 4 In(3) 3 d) dx e) 글x dx

A: We are given y =3x^(1/4)  To find dy just differentiate y with respect to x

Q: Find the differential dy for the given values of x and Δ x. y = 5x 2 - 2x + 3 ;  x = 2 , Δ x = - 1…

A: Given that: y=5x2-2x+3,  x=2  ,  Δx=-16

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 for the DE y(4x – 3y – 3)dx +x(x– 2y –- 1) dy=0

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

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Q: a. (xy + y²)dx+ (=

A: a. Given,       (xy+y2)dx+(x+2y-1)dy=0

Q: Solve the differential equation using the Laplace transform у" — 5y — бу %3Dеs", y(0) 3D 0; у' (0)…

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Q: dy 2х + ху is separable. dx y2 + 1

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

A: Solution

Q: Q1-Use the chain rule to express dy / dx in terms of xand y: 1-1 a) y = аnd x = at 1= 2 1+1 b) y=1-…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

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

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Q: What is the differential equation of the orthogonal trajectories of the family of curves X = Cy? А)…

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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: Use the Laplace transform to solve the differential equation: y' – 2 +y = e', y(0) = 0, y (0) =

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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: (a) Find the differential dy. y = 1/x+1

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Q: 4. Given y = 3u² – u and u = x³ – 1, use the Chain Rule in Leibniz notation to find the value of dy…

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

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Q: (b) Find the general integral of the partial differential equation dz dz. = 7., X- which contains…

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Q: 4. Find the double integration of [(1+xy* )dx dy. ww m

A: The given integral is ∫04∫y2y(1+xy2)dx dy

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: If y(x) satisfies the differential equation y" + x²y = 0, where y(0) = yo and y'(0) = y, show that…

A: since we know that L[y''] = p2Y(s)-py(0)-y(0)

Q: find the integrating factor of the given linear DE and general solution of the y'+1/x (y)=cos(x)

A: Consider the given linear differential equation. y'+1xy=cosx The objective of the problem is to find…

Q: (b) Solve the integral [(3x– y)dx+(2x+3y)dy along the curve x = y³ from (0,0) to (1, 1).

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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: 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: Use the Laplace transform to solve the differential equation dy x – 2y dx with the initial condition…

A: Solved below

Q: Find the differential dy of the given function. y = V9 - x dy

A: Given y= √(9-x2) To find dy/dx

Q: Find the integrating factor of the given linear de and general solution of the…

A: Here we solve the given differential equation.

Q: dx 2x - y dt dy

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Q: The integrating factor of the DE (x^2 + y^2 + 1) dx + x(x - 2y) dy = 0 is

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation +y)=3x<y becomes dx dz 1 A…

A: Topic  =Differential equation Correct option  = A

Q: Find the differential of the function y = In(S - 2x) 2dx dy = (5-2x) dy = (5 – 2x )dx -2 (5-2x)dx…

A: Given : The function y = ln(s - 2x).   To find the differential of the function y = ln(s - 2x).

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: Find the differential dy of the given function.    y = x√(1 − x2)

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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: What is the integrating factor of the nonexact DE (4xy + 3y – x) de + æ (x + 2y) dy = 0?

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Q: Find the function M(r, y) such that M(x,0) = e- and the differential equation M(x, y)dx + (sin a cos…

A: Use the concept of exact form of the differential equation.

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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Q: the separable Pential equation dy In(x³) dx ху subject to the initial condition У(1) %3D —3.…

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