Find the general solution using reduction of order. 1. y''=ln(x)

Q: Differentiate   y = (x3 + 1) ln(x3 + 1)

A: Given, y=x3+1 lnx3+1

Q: 3 + 2x g(x) %3D 5 - 8x

A:

Q: 1. Find f'(x) for f(x) = ln x + 2e - 3x².

A: The given function fx=ln x+2ex-3x2. We have to find the derivative function f'x.

Q: Differentiate the function. g(t) =  ln    t(t^2+1)^6                   3rd root of 8t-1

A: The solution are next step

Q: Differentiate. G(x) = (4x2 +5) (4x+ Vx) G'(x) = %D

A:

Q: Solve X'

A:

Q: Differentiate the function. g'(x) = g(x) = 2x² - 6x - 6x + 15 5

A: To differentiate the following function.

Q: If h(x) = √2+4f(x), where f(1) = 8 and f'(1) = 2, find h'o Answer: h' (1) = 1/2(34)^(-1/2)* 17 view…

A:

Q: Solve xdy = y(1+ ln y - In x)

A: We will solve the problem

Q: q(x)=ln(6x^2+2x+2), find q′(x).

A:

Q: sand is poured into a bucket for 30 seconds. after t seconds, the weight in sand is given by S(t) =…

A: sand is poured into a bucket for 30 seconds. after t seconds, the weight in sand is given by…

Q: If f(x) = ln(4x + ln(x)) find f ′(1)

A:

Q: Differentiate. g(x) = 7x-1 4x+7 g'(x) = + x3

A:

Q: 3 Find the particular solution of the differential equation dy (x+2)= y+2 dx y(0) = 1

A: To Determine :-  The particular solution of the differential equation x+2 dydx = y + 2            y0…

Q: Find y' and y'' y = √x ln(x)

A: By applying product rule

Q: h(x)%3De**·log,(x - 3x). Find h'(x).

A:

Q: g(x)=e>x -52x-7. Find g'(x).

A: Given, g(x) =e3x2 .52x-7