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How do I derive an expression for v_o / v_s?

This answer fills some gaps but it doesn't tell me how they came up with the expression for V^- (corresponding to -v_d in my notation).

ETA: here's what I've worked out. This seems correct but also seems to imply that the expected answer $$\frac{v_o}{V_{s}}=-\dfrac{R_2}{R_1+\dfrac{R_1+R_2}{A} }$$ isn't exactly correct since it doesn't account for the input resistance. I understand that it's negligible, etc. but I'd still like to find an exact expression. enter image description here

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  • \$\begingroup\$ By defining the Vcm range \$\endgroup\$ Aug 12 at 4:07
  • \$\begingroup\$ Rob, for a standardized approach it's just nodal analysis. Do you know how to apply it? \$\endgroup\$
    – jonk
    Aug 12 at 4:09

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