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Homework Statement
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.
Homework Equations
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.
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