Question

x''=k/x^2

Find x'

Answer 1

integrate

x'=-k/x+C

Answer 2

if i did not get this let me know

Answer 3

Surely it's a differential equation?

Answer 4

it is not since you need just x'
if you need x then it is

Answer 5

What are integrating with respect to, then?

Answer 6

I have

x''x'dt=x'dt k/x^2
x' d(x')=k/x^2 dx

Integrating:

0.5 (x')^2=-k/x

Answer 7

if this is differential equation then it is non linear and these equation needs higher level maths to be solved.

Answer 8

I ask in the context of gravitation (x=displacement), and my answer makes no sense in that way, so it's most probably wrong.