I. Solve for the General or Particula 1. dy dx = 3x+xy² y+x²y

Q: Stan5 x sec³ x dx

A:

Q: Find dv dx for V = - 5x5 +4x²+417

A: The given function .The aim is to find the derivative .

Q: 3 + 2/5x-3 dx. Find 4x+1 - Vez

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Q: 3.2 (2x - y²) dxdy

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Q: Solve Ja-yi ) dy

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Q: 2. [x² √x + 1 dx

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Q: dx 1. dy y 3x :-5x2 dy 2y 2. dx = -4x²

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Q: Find √√3 x² +3 x² +1 dx

A:

Q: Sx sech2 x² dx

A: Given:  Integral of xsech2x2

Q: 1. Solve: 2 dy (2y + 3) dx 4x + 5,

A: The answer of the differential equation is, 2/(2y+3) = 1/(4x+5) + c, where c is an arbitrary…

Q: Differentiate implicitly to find d2y/dx2.   3y2−xy+5x2=5

A: Differentiate implicitly to find d2y/dx2.  3y^2−xy+5x^2=5

Q: 1. [(2x-3) (4x2– 12x)* dx

A:

Q: 3/4y +1 dy 2. Evaluate 0,

A: Given: ∫0234y+1dy Substitute, 4y+1=u dudy=4dy=14du =34∫udu ...........(1)

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: 1 6. Find dx. V2x2 –8x+2

A: Solving

Q: 2 D²y+y=secx²

A:

Q: 2-dy dy. y2 dx 12 ナ /2

A: We have to solve the given equation. The given equation is 2-dydX=y2X2+yX+1    ......(1)

Q: 14. Find. V dx 1-2x

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Q: 1. Solve. X x²-5 +5r+0 - dx

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Q: d 4. Simplify. dx (t² + 1) dt 2x

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Q: 2. ff. x²y dy dx

A: Given

Q: Calculate the following integrals a) S .3 dx;u = x³ – 1 | Vx3-1 3x b) S dx; u = e3x +1 e3x +1 c) S *…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2. use separation of variables ysinxe dx+ ydy 0 %3D

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Q: dx 7. 7- Зх

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Q: y dx dy x ) f (9)

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Q: dx 3x + y dy r+3y

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Q: 3. Evaluate ry? dz dr dy.

A: