Determine the required integrating factor: y dx = (ye-2x) dy Oy² O e¹ ОУ 2e."

Q: Differentiate. x4 y: 3 — х3 y' У -

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Q: t-1 dt

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Q: dx Vx2-4 2.

A: Let's find integration.

Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

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Q: calculate y" and y"'. y = 7 − 2x

A: Given function: y=7-2x

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Solve DE (x2-2xy)dy=(y2-2xy)dx

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Q: Solve x2y dx=(x3+y3) dy

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Q: x3y dx= (x3+y3)dy

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Q: x + 4) (y + 1)) dx + (y (x +3x + 2)) đy = 0

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Q: Integrate 1. S the following: (x²-3x²) dx (x4-4x3+2)3 3 √x-2 z² 2 2. S dx 3. S dz 4 √73-2 3.

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Q: Solve The ODE  y'=2y

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Q: Separate the equation (1 + x + y + xy)y' =x.

A: First, convert the expression on the left-hand side in product form and then separate the equation…

Q: Use the integrating factor method to solve 2xy + y = 2x5/2

A: Please find attachment

Q: 2. dx 2. Solue integra

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Q: y'(x) = P(x) + Q(x) * y(x) + R(x) * y (x) P(x) = -e2** ricatti dif. Q(x) = 2 R(x) = e-2*x

A: The given Ricatti's differential equation is                    y'(x)=-e2x+2y(x)+e-2xy^2 ⋯⋯⋯⋯ (1)…

Q: (1+e' )dx +e" (1-)dy = 0 y

A: To find the solution of the below differential equation.

Q: Determine the equation whose y'= Y/3x. 3x2 = y3 A 1 у? y= 3 x2 © x² = y3 1

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Q: (xy+2)dx+(§x*y+8x-4y* )dy =0

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Q: Calculate y" and y"'. y = x4 − 25x2 + 2x

A: Use the power rule and sum rule and difference rule of derivative:

Q: Solve the DE y' = y sin x.

A: