# Solution of Friedmann equation w/ Cosmological Constant

1. Sep 29, 2008

### nicksauce

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 $\Omega_{M}=0.3$, $\Omega_{\Lambda}$=0.7.

2. Relevant equations

3. The attempt at a solution
$$(\frac{\dot{a}}{a})^2=H_0^2(0.3a^{-3}+0.7)$$

$$\frac{da}{a\sqrt{0.3a^{-3}+0.7}}=H_0dt$$

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

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

Last edited: Sep 29, 2008
2. Sep 30, 2008

### CompuChip

Would you mind sharing? Some people may find it useful!