General Friedmann equation - how to solve this differential equation?

[beertje]

Homework Statement

Solve the differential equation

Relevant Equations

(adot / a)^2 = k / a^q

Hello fellow physicists, I am taking a course "Introduction to Cosmology" and I am asked to solve this equation called the Friedmann equation. I understand what it represents (scale factor of cosmic time) but I have no idea how to solve this differential equation, even though I took a whole course on solving those (Euler-Lagrange etc.)

Please give me a small pointer :)

 

[vanhees71]

Take the square root (which sign is the right one?) and then separate variables.

 

[beertje]

Take the square root (which sign is the right one?) and then separate variables.

Thanks! That was way more obvious than I thought. Summer break always breaks me up.