Find numerical solutions for other models of the universe.

a. A flat universe with nonrelativistic matter only with \(\Omega_{m, 0}=1\).

b. A curved universe with radiation only with curvature of different types.

c. A flat universe with nonrelativistic matter and radiation with several values of \(\Omega_{m, 0}\) and \(\Omega_{r, 0}+\Omega_{m, 0}=1\).

d. Look up the current values of \(\Omega_{r, 0}, \Omega_{m, 0}\), and \(\Omega_{\Lambda, 0}\) and \(\kappa\). Use these values to predict future values of \(a(t)\).

e. Investigate other types of universes of your choice, but different from the previous problems and examples.