How do you get the curvature tensor of the Schwarzschild Solution?

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So, on the Wikipedia page on the derivation of the Schwärzschild solution , I get everything up to the part about the Ricci tensor.

What were the components of the tensor that were used?

Could someone please just show me a step-by-step mathematical description of the solution of the tensor?

If the photo isn't clear enough, here's the link to the page. https://en.m.wikipedia.org/wiki/Deriving_the_Schwarzschild_solution#Using_the_field_equations_to_find_A.28r.29_and_B.28r.29 😄