5. Find the complete solution of dx + 2x = 2x²y²e*dx y

Q: S (5x - 3x + 5) dx %3D

A: recall: ∫xndx=xn+1n+1+C

Q: 2 (In x)² x3 da

A: Introduction: The definite integral of any function can be expressed either as the limit of a sum…

Q: 3.2 (2x - y²) dxdy

A:

Q: Solve for DE (x + 2y - 3)dx - (2x + 4y - 9) dy = 0

A: In this question,  we solve given DE by substitution methode i. e.  We put some terms in the form of…

Q: Solve 2- (2xy - 2y)dx + (3x'y-4x)dy 0

A: We have to solve given problem:

Q: Find d2y/dx2 if x = 3 - 2z and y = z2 - 3z3

A:

Q: 2. [x² √x + 1 dx

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Q: Find √√3 x² +3 x² +1 dx

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Q: Find dy/dx. y = __2x + 3)3__ (4x 2 − 1)8

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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: 2- Solve (4x + 2y + 3)dx - (6x + 3y – 2)dy = 0.

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Q: Solve for d2y/dx2 for x = u2 - 3 and y = 4u3 - 2u

A: Given x=u2-3 and y=4u3-2u. To find d2ydx2. Solution: We have, x=u2-3 Differentiating the given…

Q: Find the dx/dy of 2x² + 4y² = 4.

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Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Solve dy/dx =(4x+y+1)2

A:

Q: 1 6. Find dx. V2x2 –8x+2

A: Solving

Q: 3. Solve (2xy – y² + y)dx + (3x² – 4xy + 3x)dy = 0. (Non Exact) 4. Solve the following FOLDE: (2у +…

A:

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

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Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

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

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Q: Solve (xy+x)dx - (x2y2+x2+y2+1)dy=0 using separation of variable

A: Let's find.

Q: 2.x +1 dx. J 6x +x-15 (ii)

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Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

A: