(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

m' = G O^1/2 m^(-1/2)

where m' = dm/dt. Find m by integrating this expression wrt to time (indefinite).

2. Relevant equations

We have G = m'/m

and O = constant/G^2

and m is a function of time m(t)

3. The attempt at a solution

I know that integral of m'/m = ln m, so that means I can integrate the G part. I have tried to integrate O by taking the constant outside the integral, which leaves an integral of [1/(G^2)]^(1/2) or just [G^(-2)]^(1/2) or [(m'/m)^(-2)]^(1/2) I am not sure what form is easiest to work with, and have no idea how to start with this part! Could I use the substitution rule? I can't see how...

The last part is an integral of m^(-1/2) which is 2m^(1/2).

I also have no idea how to combine the three different parts together to give the final equation for the integral.

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# Homework Help: Integrating complicated functions of time

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