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delon
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How to express the linear growth equation in Cosmology in terms of $\partial_a$
No, $\Omega_{\Lambda,0}$ in Eq. (1) is truly a constant by definition (made a small edit to make this more clear). See the discussion around Eq. (1.3.120) in these lectures notes. I'm not sure what notes you're reading so I don't know if the author is considering a matter-dominated universe but this result is true in a universe where $\Omega_{\Lambda,0} \ne 0$
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Understanding the Meszaros Effect in terms of Hubble Drag
Thanks for the answer! Quick clarifying question: why can we say that the red and green term are of order $H^2$?
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