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

Solve for the age of the universe as a function of scale factor in a cosmology with [itex]\Omega_{M}=0.3[/itex], [itex]\Omega_{\Lambda}[/itex]=0.7.

2. Relevant equations

3. The attempt at a solution

[tex](\frac{\dot{a}}{a})^2=H_0^2(0.3a^{-3}+0.7)[/tex]

[tex]\frac{da}{a\sqrt{0.3a^{-3}+0.7}}=H_0dt[/tex]

At this point, Maple seems unable to do this integral, and I am stuck. Any tips?

Errr... Nevermind, I got it to work eventually.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Solution of Friedmann equation w/ Cosmological Constant

**Physics Forums | Science Articles, Homework Help, Discussion**