1. Integrating factors found by inspection: (xy’ +xy dx +(xʻy² – 2 kdy = 0

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

A: recall: ∫xndx=xn+1n+1+C

Q: dz. 2ª + 9 tegrate

A: The integration of the integral x/√(x4+9).

Q: MA 1. Find the following, a. f(5x2 – 6x +3)dx = OWI +2 4t %3D dt

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Q: 3.2 (2x - y²) dxdy

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Q: dz Find if z = (8x +5y). dy dz dy %3D

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Q: dy If x = 3t2, y = t³ then %3D dx II

A: Here we find out the dy/dx

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

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Q: x dx 1o. 8 x-X

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Q: 1. Separating the variables dy 1 x(y- 3) =D4y dx %3D

A: In the separation of variables method of solving the differential equation, the different variables…

Q: 8x 5. S dx 2. 2. (4x +3)

A: ∫8x(4x2+3)23dx∫(4x2+3)-23 8x dxhere f(x) =4x2+3 , f'(x) =8x , n=-23∫f(x)nf'(x) dx= f(x)n+1n+1+c

Q: dy Find , if dx y = 3u – 2 and u = 2x² - 4. dy Preview dx

A: Topic = Derivative

Q: Find the values of d/dx (11) and d/dx(π)

A: Consider the provided information, ddx11   and   ddxπ. Find the values of the derivative. The…

Q: y= In]3x+2)²/2x–1 dy 1. Find dx

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Q: 4. (x? — у?)dx — 2хydy %3D 0

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Q: ,5. For y = 3x° - 9x° + 2x, find dx %3D dx 5

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Q: 2) Find dy of: 7x 5 上 (3-2x

A: We know that  ddx(xn)=nxn-1

Q: (e 2X Integrate 2X to dx

A: The given integral is ∫e2x+1xe2x-1xdx   Formula used: a2-b2=a+ba-b

Q: х+3у dy= dx 3x+ y

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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: ponit) Let f(x)dx = 4, f(x)dx = 5, f(x)dx = 5. Find f(x)dx = and (4f(x) – 5)dx = %3D

A: We have  ∫-9-3fx dx=4 ,∫-9-7fx dx=5  and ∫-5-3fx dx=5   Find ∫-7-5fx dx=? We can write the above…