24. y' + y = -x/y

Q: Differentiate. x4 y: 3 — х3 y' У -

A:

Q: '= -x+y - 8

A:

Q: Differentiate. y = In (6x? - 5x + 3) y' =O

A: Given: y=ln6x2-5x+3 We know that ddxlnx=1x…

Q: 1. f4x-³ dx -3

A: Find the integral

Q: for

A:

Q: 5. x' = (1²3) × X 5

A:

Q: you-y'= lot cos(2t)

A: Given that y''+y'=6tcos2t

Q: y' - 4y = 4y18

A:

Q: Differentiate. et y = 8x2 y' =

A: Given:- y =ex /(8x2)  To find:- y'

Q: y"+y=sec³x

A: The given equation is: y"+y=sec3x

Q: Let y = xbex (where b is a real number). Determine y'.   Let y = (3x + 6)/(6x + 12). Determine y'.

A: given y=xbex to find the derivative y' use the product rule uv'=uv'+vu' therefore,…

Q: find dp/ dq. sin q + cos q = cos q

A:

Q: Зу" +y=0.

A:

Q: Find y" for y =5- 3

A: Answer and explanation is given below

Q: 2. (81-x')

A: Consider the provided integral,∫x381-x22dx apply the trigonometric substitution,x=9sinθ then…

Q: y' = 2x + 14

A:

Q: Differentiate y = xe у'3

A: Apply product rule. (uv)'=u'v+uv'